82042464 has 144 divisors (see below), whose sum is σ = 254415168. Its totient is φ = 23079168.

The previous prime is 82042427. The next prime is 82042481. The reversal of 82042464 is 46424028.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503247 + ... + 503409.

It is an arithmetic number, because the mean of its divisors is an integer number (1766772).

Almost surely, 2^82042464 is an apocalyptic number.

82042464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82042464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127207584).

82042464 is an abundant number, since it is smaller than the sum of its proper divisors (172372704).

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

82042464 is a wasteful number, since it uses less digits than its factorization.

82042464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 82042464 is about 9057.7295168271. The cubic root of 82042464 is about 434.5231291564.

The spelling of 82042464 in words is "eighty-two million, forty-two thousand, four hundred sixty-four".