96645924 has 72 divisors (see below), whose sum is σ = 255822840. Its totient is φ = 30753216.

The previous prime is 96645919. The next prime is 96645929. The reversal of 96645924 is 42954669.

96645924 = T₄₅₂ + T₄₅₃ + ... + T₈₇₅.

It is an interprime number because it is at equal distance from previous prime (96645919) and next prime (96645929).

It can be written as a sum of positive squares in 4 ways, for example, as 49449024 + 47196900 = 7032^2 + 6870^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 96645924.

It is not an unprimeable number, because it can be changed into a prime (96645929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1823482 + ... + 1823534.

It is an arithmetic number, because the mean of its divisors is an integer number (3553095).

Almost surely, 2^96645924 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 96645924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127911420).

96645924 is an abundant number, since it is smaller than the sum of its proper divisors (159176916).

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

96645924 is a wasteful number, since it uses less digits than its factorization.

96645924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 95 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 96645924 is about 9830.8658825151. The cubic root of 96645924 is about 458.9103446004.

The spelling of 96645924 in words is "ninety-six million, six hundred forty-five thousand, nine hundred twenty-four".