82112960 has 28 divisors (see below), whose sum is σ = 195532248. Its totient is φ = 32845056.

The previous prime is 82112951. The next prime is 82112963. The reversal of 82112960 is 6921128.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82112963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127982 + ... + 128621.

Almost surely, 2^82112960 is an apocalyptic number.

82112960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82112960 is an abundant number, since it is smaller than the sum of its proper divisors (113419288).

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

82112960 is a wasteful number, since it uses less digits than its factorization.

82112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256620 (or 256610 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 82112960 is about 9061.6201641870. The cubic root of 82112960 is about 434.6475499808.

The spelling of 82112960 in words is "eighty-two million, one hundred twelve thousand, nine hundred sixty".