96924560 has 40 divisors (see below), whose sum is σ = 227898360. Its totient is φ = 38331392.

The previous prime is 96924557. The next prime is 96924563. The reversal of 96924560 is 6542969.

It is an interprime number because it is at equal distance from previous prime (96924557) and next prime (96924563).

It can be written as a sum of positive squares in 4 ways, for example, as 5071504 + 91853056 = 2252^2 + 9584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (96924563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314 + ... + 13926.

It is an arithmetic number, because the mean of its divisors is an integer number (5697459).

Almost surely, 2^96924560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96924560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113949180).

96924560 is an abundant number, since it is smaller than the sum of its proper divisors (130973800).

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

96924560 is a wasteful number, since it uses less digits than its factorization.

96924560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13715 (or 13709 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 96924560 is about 9845.0271711154. The cubic root of 96924560 is about 459.3509434701.

The spelling of 96924560 in words is "ninety-six million, nine hundred twenty-four thousand, five hundred sixty".