82952160 has 96 divisors (see below), whose sum is σ = 267442560. Its totient is φ = 21600768.

The previous prime is 82952159. The next prime is 82952179. The reversal of 82952160 is 6125928.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 18631 + ... + 22649.

It is an arithmetic number, because the mean of its divisors is an integer number (2785860).

Almost surely, 2^82952160 is an apocalyptic number.

82952160 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 82952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133721280).

82952160 is an abundant number, since it is smaller than the sum of its proper divisors (184490400).

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

82952160 is a wasteful number, since it uses less digits than its factorization.

82952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 4072 counting only the distinct ones).

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

The square root of 82952160 is about 9107.8076396024. The cubic root of 82952160 is about 436.1232432228.

The spelling of 82952160 in words is "eighty-two million, nine hundred fifty-two thousand, one hundred sixty".