82655936 has 56 divisors (see below), whose sum is σ = 180447696. Its totient is φ = 37253120.

The previous prime is 82655927. The next prime is 82655953. The reversal of 82655936 is 63955628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96020 + ... + 96876.

Almost surely, 2^82655936 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 82655936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90223848).

82655936 is an abundant number, since it is smaller than the sum of its proper divisors (97791760).

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

82655936 is a wasteful number, since it uses less digits than its factorization.

82655936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1007 counting only the distinct ones).

The product of its digits is 388800, while the sum is 44.

The square root of 82655936 is about 9091.5310041819. The cubic root of 82655936 is about 435.6034887935.

The spelling of 82655936 in words is "eighty-two million, six hundred fifty-five thousand, nine hundred thirty-six".