81924096 has 104 divisors (see below), whose sum is σ = 224105760. Its totient is φ = 26607616.

The previous prime is 81924079. The next prime is 81924107. The reversal of 81924096 is 69042918.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 724936 + ... + 725048.

Almost surely, 2^81924096 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 81924096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112052880).

81924096 is an abundant number, since it is smaller than the sum of its proper divisors (142181664).

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

81924096 is a wasteful number, since it uses less digits than its factorization.

81924096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 81924096 is about 9051.1930705294. The cubic root of 81924096 is about 434.3140569815.

It can be divided in two parts, 8192 and 4096, that multiplied together give a 25-th power (33554432 = 2²⁵).

The spelling of 81924096 in words is "eighty-one million, nine hundred twenty-four thousand, ninety-six".