82053696 has 112 divisors (see below), whose sum is σ = 240084864. Its totient is φ = 24600576.

The previous prime is 82053691. The next prime is 82053701. The reversal of 82053696 is 69635028.

It is an interprime number because it is at equal distance from previous prime (82053691) and next prime (82053701).

It is not an unprimeable number, because it can be changed into a prime (82053691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74526 + ... + 75618.

Almost surely, 2^82053696 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 82053696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120042432).

82053696 is an abundant number, since it is smaller than the sum of its proper divisors (158031168).

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

82053696 is a wasteful number, since it uses less digits than its factorization.

82053696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 82053696 is about 9058.3495185381. The cubic root of 82053696 is about 434.5429576730.

The spelling of 82053696 in words is "eighty-two million, fifty-three thousand, six hundred ninety-six".