82937440 has 48 divisors (see below), whose sum is σ = 196499520. Its totient is φ = 33080320.

The previous prime is 82937389. The next prime is 82937447. The reversal of 82937440 is 4473928.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82937440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82937447) 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 7 ways as a sum of consecutive naturals, for example, 90585 + ... + 91495.

It is an arithmetic number, because the mean of its divisors is an integer number (4093740).

Almost surely, 2^82937440 is an apocalyptic number.

82937440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82937440 is an abundant number, since it is smaller than the sum of its proper divisors (113562080).

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

82937440 is a wasteful number, since it uses less digits than its factorization.

82937440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 82937440 is about 9106.9995058746. Note that the first 3 decimals coincide. The cubic root of 82937440 is about 436.0974447630.

The spelling of 82937440 in words is "eighty-two million, nine hundred thirty-seven thousand, four hundred forty".