366259968 has 180 divisors, whose sum is σ = 1157476320. Its totient is φ = 114794496.

The previous prime is 366259963. The next prime is 366259973. The reversal of 366259968 is 869952663.

366259968 is a `hidden beast` number, since 3 + 6 + 625 + 9 + 9 + 6 + 8 = 666.

366259968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (366259963) and next prime (366259973).

It is a super-2 number, since 2×366259968² = 268292728318722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (366259963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 351993 + ... + 353031.

It is an arithmetic number, because the mean of its divisors is an integer number (6430424).

Almost surely, 2^366259968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 366259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578738160).

366259968 is an abundant number, since it is smaller than the sum of its proper divisors (791216352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

366259968 is a wasteful number, since it uses less digits than its factorization.

366259968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1061 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 366259968 is about 19137.9196361569. The cubic root of 366259968 is about 715.4783295785.

It can be divided in two parts, 36 and 6259968, that added together give a square (6260004 = 2502²).

The spelling of 366259968 in words is "three hundred sixty-six million, two hundred fifty-nine thousand, nine hundred sixty-eight".