81933696 has 96 divisors (see below), whose sum is σ = 253955520. Its totient is φ = 25205760.

The previous prime is 81933653. The next prime is 81933739. The reversal of 81933696 is 69633918.

It is an interprime number because it is at equal distance from previous prime (81933653) and next prime (81933739).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12241 + ... + 17711.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^81933696 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 81933696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760).

81933696 is an abundant number, since it is smaller than the sum of its proper divisors (172021824).

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

81933696 is a wasteful number, since it uses less digits than its factorization.

81933696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5504 (or 5489 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 81933696 is about 9051.7233718226. The cubic root of 81933696 is about 434.3310208635.

The spelling of 81933696 in words is "eighty-one million, nine hundred thirty-three thousand, six hundred ninety-six".