82632880 has 40 divisors (see below), whose sum is σ = 209589264. Its totient is φ = 30048000.

The previous prime is 82632871. The next prime is 82632889. The reversal of 82632880 is 8823628.

It is an interprime number because it is at equal distance from previous prime (82632871) and next prime (82632889).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82632889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46071 + ... + 47830.

Almost surely, 2^82632880 is an apocalyptic number.

82632880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82632880 is an abundant number, since it is smaller than the sum of its proper divisors (126956384).

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

82632880 is a wasteful number, since it uses less digits than its factorization.

82632880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93925 (or 93919 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 82632880 is about 9090.2629224902. The cubic root of 82632880 is about 435.5629826969.

The spelling of 82632880 in words is "eighty-two million, six hundred thirty-two thousand, eight hundred eighty".