82957440 has 64 divisors (see below), whose sum is σ = 264432960. Its totient is φ = 22121472.

The previous prime is 82957423. The next prime is 82957451. The reversal of 82957440 is 4475928.

It is a tau number, because it is divible by the number of its divisors (64).

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, 19684 + ... + 23523.

It is an arithmetic number, because the mean of its divisors is an integer number (4131765).

Almost surely, 2^82957440 is an apocalyptic number.

82957440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82957440 is an abundant number, since it is smaller than the sum of its proper divisors (181475520).

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

82957440 is a wasteful number, since it uses less digits than its factorization.

82957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43229 (or 43217 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 82957440 is about 9108.0974961844. The cubic root of 82957440 is about 436.1324962745.

The spelling of 82957440 in words is "eighty-two million, nine hundred fifty-seven thousand, four hundred forty".