96354720 has 432 divisors, whose sum is σ = 418279680. Its totient is φ = 19768320.

The previous prime is 96354683. The next prime is 96354737. The reversal of 96354720 is 2745369.

96354720 is a `hidden beast` number, since 96 + 3 + 547 + 20 = 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 71 ways as a sum of consecutive naturals, for example, 1219641 + ... + 1219719.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 2^96354720 is an apocalyptic number.

96354720 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 96354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

96354720 is an abundant number, since it is smaller than the sum of its proper divisors (321924960).

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

96354720 is a wasteful number, since it uses less digits than its factorization.

96354720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 96354720 is about 9816.0440096813. The cubic root of 96354720 is about 458.4489663800.

The spelling of 96354720 in words is "ninety-six million, three hundred fifty-four thousand, seven hundred twenty".