82900944 has 180 divisors, whose sum is σ = 279327360. Its totient is φ = 22861440.

The previous prime is 82900927. The next prime is 82900967. The reversal of 82900944 is 44900928.

It is a happy number.

It is a super-2 number, since 2×82900944² = 13745133032182272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 82900899 and 82900908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 218547 + ... + 218925.

Almost surely, 2^82900944 is an apocalyptic number.

82900944 is a gapful number since it is divisible by the number (84) 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 82900944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139663680).

82900944 is an abundant number, since it is smaller than the sum of its proper divisors (196426416).

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

82900944 is a wasteful number, since it uses less digits than its factorization.

82900944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 82900944 is about 9104.9955518935. The cubic root of 82900944 is about 436.0334682386.

The spelling of 82900944 in words is "eighty-two million, nine hundred thousand, nine hundred forty-four".