81932544 has 108 divisors (see below), whose sum is σ = 242017776. Its totient is φ = 26643456.

The previous prime is 81932519. The next prime is 81932549. The reversal of 81932544 is 44523918.

81932544 is a `hidden beast` number, since 81 + 9 + 32 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 81932499 and 81932508.

It is not an unprimeable number, because it can be changed into a prime (81932549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98659 + ... + 99485.

Almost surely, 2^81932544 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 81932544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121008888).

81932544 is an abundant number, since it is smaller than the sum of its proper divisors (160085232).

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

81932544 is a wasteful number, since it uses less digits than its factorization.

81932544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 875 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 81932544 is about 9051.6597373078. The cubic root of 81932544 is about 434.3289852677.

The spelling of 81932544 in words is "eighty-one million, nine hundred thirty-two thousand, five hundred forty-four".