82651600 has 60 divisors (see below), whose sum is σ = 200257024. Its totient is φ = 32780160.

The previous prime is 82651589. The next prime is 82651601. The reversal of 82651600 is 615628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82651601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 49987 + ... + 51613.

Almost surely, 2^82651600 is an apocalyptic number.

82651600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82651600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100128512).

82651600 is an abundant number, since it is smaller than the sum of its proper divisors (117605424).

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

82651600 is a wasteful number, since it uses less digits than its factorization.

82651600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 82651600 is about 9091.2925373678. The cubic root of 82651600 is about 435.5958716364.

The spelling of 82651600 in words is "eighty-two million, six hundred fifty-one thousand, six hundred".