82630368 has 120 divisors (see below), whose sum is σ = 246985200. Its totient is φ = 27095040.

The previous prime is 82630351. The next prime is 82630397. The reversal of 82630368 is 86303628.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 183808 + ... + 184256.

It is an arithmetic number, because the mean of its divisors is an integer number (2058210).

Almost surely, 2^82630368 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 82630368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492600).

82630368 is an abundant number, since it is smaller than the sum of its proper divisors (164354832).

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

82630368 is a wasteful number, since it uses less digits than its factorization.

82630368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 82630368 is about 9090.1247516192. The cubic root of 82630368 is about 435.5585690167.

The spelling of 82630368 in words is "eighty-two million, six hundred thirty thousand, three hundred sixty-eight".