82515456 has 160 divisors (see below), whose sum is σ = 251412480. Its totient is φ = 26707968.

The previous prime is 82515451. The next prime is 82515479. The reversal of 82515456 is 65451528.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82515456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82515451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649665 + ... + 649791.

It is an arithmetic number, because the mean of its divisors is an integer number (1571328).

Almost surely, 2^82515456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82515456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125706240).

82515456 is an abundant number, since it is smaller than the sum of its proper divisors (168897024).

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

82515456 is a wasteful number, since it uses less digits than its factorization.

82515456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 82515456 is about 9083.8018472444. The cubic root of 82515456 is about 435.3565685216.

It can be divided in two parts, 8 and 2515456, that multiplied together give a cube (20123648 = 272³).

The spelling of 82515456 in words is "eighty-two million, five hundred fifteen thousand, four hundred fifty-six".