82965120 has 128 divisors (see below), whose sum is σ = 302279040. Its totient is φ = 18960384.

The previous prime is 82965119. The next prime is 82965149. The reversal of 82965120 is 2156928.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×82965120² = 13766422273228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10354 + ... + 16526.

It is an arithmetic number, because the mean of its divisors is an integer number (2361555).

Almost surely, 2^82965120 is an apocalyptic number.

82965120 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 82965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151139520).

82965120 is an abundant number, since it is smaller than the sum of its proper divisors (219313920).

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

82965120 is a wasteful number, since it uses less digits than its factorization.

82965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6202 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 82965120 is about 9108.5190892922. The cubic root of 82965120 is about 436.1459545579.

The spelling of 82965120 in words is "eighty-two million, nine hundred sixty-five thousand, one hundred twenty".