84131664 has 40 divisors (see below), whose sum is σ = 219277632. Its totient is φ = 27793920.

The previous prime is 84131659. The next prime is 84131669. The reversal of 84131664 is 46613148.

It is an interprime number because it is at equal distance from previous prime (84131659) and next prime (84131669).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84131669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2332 + ... + 13179.

Almost surely, 2^84131664 is an apocalyptic number.

It is an amenable number.

84131664 is an abundant number, since it is smaller than the sum of its proper divisors (135145968).

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

84131664 is a wasteful number, since it uses less digits than its factorization.

84131664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15635 (or 15629 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 84131664 is about 9172.3314375354. The cubic root of 84131664 is about 438.1806139877.

The spelling of 84131664 in words is "eighty-four million, one hundred thirty-one thousand, six hundred sixty-four".