368854560 has 288 divisors, whose sum is σ = 1337394240. Its totient is φ = 95966208.

The previous prime is 368854547. The next prime is 368854561. The reversal of 368854560 is 65458863.

368854560 is a `hidden beast` number, since 3 + 6 + 8 + 85 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (368854561) 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 47 ways as a sum of consecutive naturals, for example, 2060551 + ... + 2060729.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2^368854560 is an apocalyptic number.

368854560 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 368854560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668697120).

368854560 is an abundant number, since it is smaller than the sum of its proper divisors (968539680).

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

368854560 is a wasteful number, since it uses less digits than its factorization.

368854560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 368854560 is about 19205.5866872116. The cubic root of 368854560 is about 717.1638427414.

The spelling of 368854560 in words is "three hundred sixty-eight million, eight hundred fifty-four thousand, five hundred sixty".