82490480 has 40 divisors (see below), whose sum is σ = 192175200. Its totient is φ = 32930048.

The previous prime is 82490479. The next prime is 82490521. The reversal of 82490480 is 8409428.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82490480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66506 + ... + 67734.

It is an arithmetic number, because the mean of its divisors is an integer number (4804380).

Almost surely, 2^82490480 is an apocalyptic number.

82490480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82490480 is an abundant number, since it is smaller than the sum of its proper divisors (109684720).

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

82490480 is a wasteful number, since it uses less digits than its factorization.

82490480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 82490480 is about 9082.4269884211. The cubic root of 82490480 is about 435.3126391237.

The spelling of 82490480 in words is "eighty-two million, four hundred ninety thousand, four hundred eighty".