82042064 has 30 divisors (see below), whose sum is σ = 172130166. Its totient is φ = 37864320.

The previous prime is 82042063. The next prime is 82042067. The reversal of 82042064 is 46024028.

It can be written as a sum of positive squares in 3 ways, for example, as 2689600 + 79352464 = 1640^2 + 8908^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82042063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12467 + ... + 17874.

Almost surely, 2^82042064 is an apocalyptic number.

It is an amenable number.

82042064 is an abundant number, since it is smaller than the sum of its proper divisors (90088102).

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

82042064 is a wasteful number, since it uses less digits than its factorization.

82042064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30375 (or 30356 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 82042064 is about 9057.7074362114. The cubic root of 82042064 is about 434.5224229793.

The spelling of 82042064 in words is "eighty-two million, forty-two thousand, sixty-four".