82892160 has 384 divisors, whose sum is σ = 327468960. Its totient is φ = 19906560.

The previous prime is 82892143. The next prime is 82892209. The reversal of 82892160 is 6129828.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×82892160² = 13742220378931200, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021740 + ... + 2021780.

Almost surely, 2^82892160 is an apocalyptic number.

82892160 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 82892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163734480).

82892160 is an abundant number, since it is smaller than the sum of its proper divisors (244576800).

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

82892160 is a wasteful number, since it uses less digits than its factorization.

82892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 82892160 is about 9104.5131665565. The cubic root of 82892160 is about 436.0180673152.

The spelling of 82892160 in words is "eighty-two million, eight hundred ninety-two thousand, one hundred sixty".