360976896 has 360 divisors, whose sum is σ = 1297131264. Its totient is φ = 94556160.

The previous prime is 360976883. The next prime is 360976933. The reversal of 360976896 is 698679063.

It is a happy number.

360976896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11644401 + ... + 11644431.

Almost surely, 2^360976896 is an apocalyptic number.

360976896 is a gapful number since it is divisible by the number (36) 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 360976896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648565632).

360976896 is an abundant number, since it is smaller than the sum of its proper divisors (936154368).

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

360976896 is a wasteful number, since it uses less digits than its factorization.

360976896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 360976896 is about 18999.3919902717. The cubic root of 360976896 is about 712.0215454491.

The spelling of 360976896 in words is "three hundred sixty million, nine hundred seventy-six thousand, eight hundred ninety-six".