368904960 has 216 divisors, whose sum is σ = 1318821504. Its totient is φ = 95109120.

The previous prime is 368904959. The next prime is 368904961. The reversal of 368904960 is 69409863.

368904960 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 (368904959) and next prime (368904961).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368904961) 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 23 ways as a sum of consecutive naturals, for example, 356604 + ... + 357636.

Almost surely, 2^368904960 is an apocalyptic number.

368904960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659410752).

368904960 is an abundant number, since it is smaller than the sum of its proper divisors (949916544).

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

368904960 is a wasteful number, since it uses less digits than its factorization.

368904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 368904960 is about 19206.8987606016. The cubic root of 368904960 is about 717.1965054902.

The spelling of 368904960 in words is "three hundred sixty-eight million, nine hundred four thousand, nine hundred sixty".