82257120 has 240 divisors, whose sum is σ = 317238768. Its totient is φ = 19906560.

The previous prime is 82257083. The next prime is 82257143. The reversal of 82257120 is 2175228.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142272 + ... + 142848.

Almost surely, 2^82257120 is an apocalyptic number.

82257120 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 82257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158619384).

82257120 is an abundant number, since it is smaller than the sum of its proper divisors (234981648).

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

82257120 is a wasteful number, since it uses less digits than its factorization.

82257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 82257120 is about 9069.5711034205. The cubic root of 82257120 is about 434.9017614068.

The spelling of 82257120 in words is "eighty-two million, two hundred fifty-seven thousand, one hundred twenty".