82693952 has 56 divisors (see below), whose sum is σ = 180941472. Its totient is φ = 37184000.

The previous prime is 82693937. The next prime is 82693969. The reversal of 82693952 is 25939628.

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

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, 70523 + ... + 71685.

Almost surely, 2^82693952 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 82693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90470736).

82693952 is an abundant number, since it is smaller than the sum of its proper divisors (98247520).

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

82693952 is a wasteful number, since it uses less digits than its factorization.

82693952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1277 counting only the distinct ones).

The product of its digits is 233280, while the sum is 44.

The square root of 82693952 is about 9093.6215008103. The cubic root of 82693952 is about 435.6702610258.

It can be divided in two parts, 8269 and 3952, that added together give a palindrome (12221).

The spelling of 82693952 in words is "eighty-two million, six hundred ninety-three thousand, nine hundred fifty-two".