82882960 has 40 divisors (see below), whose sum is σ = 197918136. Its totient is φ = 32256000.

The previous prime is 82882951. The next prime is 82882981. The reversal of 82882960 is 6928828.

It can be written as a sum of positive squares in 4 ways, for example, as 29942784 + 52940176 = 5472^2 + 7276^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11041 + ... + 16960.

Almost surely, 2^82882960 is an apocalyptic number.

82882960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82882960 is an abundant number, since it is smaller than the sum of its proper divisors (115035176).

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

82882960 is a wasteful number, since it uses less digits than its factorization.

82882960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28051 (or 28045 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 82882960 is about 9104.0079086082. The cubic root of 82882960 is about 436.0019358554.

The spelling of 82882960 in words is "eighty-two million, eight hundred eighty-two thousand, nine hundred sixty".