82415610 has 32 divisors (see below), whose sum is σ = 219775680. Its totient is φ = 21977424.

The previous prime is 82415591. The next prime is 82415621. The reversal of 82415610 is 1651428.

82415610 is a `hidden beast` number, since 8 + 2 + 41 + 5 + 610 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152352 + ... + 152891.

It is an arithmetic number, because the mean of its divisors is an integer number (6867990).

Almost surely, 2^82415610 is an apocalyptic number.

82415610 is an abundant number, since it is smaller than the sum of its proper divisors (137360070).

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

82415610 is a wasteful number, since it uses less digits than its factorization.

82415610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305259 (or 305253 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 82415610 is about 9078.3043570922. The cubic root of 82415610 is about 435.1808997900.

The spelling of 82415610 in words is "eighty-two million, four hundred fifteen thousand, six hundred ten".