82232960 has 32 divisors (see below), whose sum is σ = 196589700. Its totient is φ = 32892928.

The previous prime is 82232959. The next prime is 82232963. The reversal of 82232960 is 6923228.

It can be written as a sum of positive squares in 2 ways, for example, as 73136704 + 9096256 = 8552^2 + 3016^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (82232963) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 63605 + ... + 64884.

Almost surely, 2^82232960 is an apocalyptic number.

82232960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82232960 is an abundant number, since it is smaller than the sum of its proper divisors (114356740).

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

82232960 is a wasteful number, since it uses less digits than its factorization.

82232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128508 (or 128496 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 82232960 is about 9068.2390793362. The cubic root of 82232960 is about 434.8591784449.

The spelling of 82232960 in words is "eighty-two million, two hundred thirty-two thousand, nine hundred sixty".