96556320 has 384 divisors, whose sum is σ = 402554880. Its totient is φ = 21150720.

The previous prime is 96556279. The next prime is 96556333. The reversal of 96556320 is 2365569.

96556320 is a `hidden beast` number, since 96 + 5 + 563 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 937389 + ... + 937491.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 2^96556320 is an apocalyptic number.

96556320 is a gapful number since it is divisible by the number (90) 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 96556320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

96556320 is an abundant number, since it is smaller than the sum of its proper divisors (305998560).

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

96556320 is a wasteful number, since it uses less digits than its factorization.

96556320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 96556320 is about 9826.3075465813. The cubic root of 96556320 is about 458.7684765133.

Adding to 96556320 its sum of digits (36), we get a triangular number (96556356 = T₁₃₈₉₆).

The spelling of 96556320 in words is "ninety-six million, five hundred fifty-six thousand, three hundred twenty".