82615840 has 24 divisors (see below), whose sum is σ = 195180300. Its totient is φ = 33046272.

The previous prime is 82615823. The next prime is 82615843. The reversal of 82615840 is 4851628.

It can be written as a sum of positive squares in 2 ways, for example, as 82373776 + 242064 = 9076^2 + 492^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82615796 and 82615805.

It is not an unprimeable number, because it can be changed into a prime (82615843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 258015 + ... + 258334.

Almost surely, 2^82615840 is an apocalyptic number.

82615840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82615840 is an abundant number, since it is smaller than the sum of its proper divisors (112564460).

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

82615840 is a wasteful number, since it uses less digits than its factorization.

82615840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516364 (or 516356 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 82615840 is about 9089.3256075465. The cubic root of 82615840 is about 435.5330410100.

The spelling of 82615840 in words is "eighty-two million, six hundred fifteen thousand, eight hundred forty".