82900840 has 64 divisors (see below), whose sum is σ = 215472960. Its totient is φ = 28369920.

The previous prime is 82900817. The next prime is 82900843. The reversal of 82900840 is 4800928.

It is not an unprimeable number, because it can be changed into a prime (82900843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1939 + ... + 13021.

It is an arithmetic number, because the mean of its divisors is an integer number (3366765).

Almost surely, 2^82900840 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 82900840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107736480).

82900840 is an abundant number, since it is smaller than the sum of its proper divisors (132572120).

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

82900840 is a wasteful number, since it uses less digits than its factorization.

82900840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122 (or 11118 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 82900840 is about 9104.9898407412. The cubic root of 82900840 is about 436.0332859025.

The spelling of 82900840 in words is "eighty-two million, nine hundred thousand, eight hundred forty".