82942160 has 80 divisors (see below), whose sum is σ = 226402176. Its totient is φ = 27661824.

The previous prime is 82942121. The next prime is 82942177. The reversal of 82942160 is 6124928.

It is a tau number, because it is divible by the number of its divisors (80).

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, 18719 + ... + 22721.

Almost surely, 2^82942160 is an apocalyptic number.

82942160 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 82942160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113201088).

82942160 is an abundant number, since it is smaller than the sum of its proper divisors (143460016).

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

82942160 is a wasteful number, since it uses less digits than its factorization.

82942160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 82942160 is about 9107.2586435217. The cubic root of 82942160 is about 436.1057174277.

The spelling of 82942160 in words is "eighty-two million, nine hundred forty-two thousand, one hundred sixty".