368830560 has 192 divisors, whose sum is σ = 1371009024. Its totient is φ = 81561600.

The previous prime is 368830519. The next prime is 368830597. The reversal of 368830560 is 65038863.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102390 + ... + 105930.

It is an arithmetic number, because the mean of its divisors is an integer number (7140672).

Almost surely, 2^368830560 is an apocalyptic number.

368830560 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 368830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685504512).

368830560 is an abundant number, since it is smaller than the sum of its proper divisors (1002178464).

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

368830560 is a wasteful number, since it uses less digits than its factorization.

368830560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 368830560 is about 19204.9618588530. The cubic root of 368830560 is about 717.1482880057.

The spelling of 368830560 in words is "three hundred sixty-eight million, eight hundred thirty thousand, five hundred sixty".