84492864 has 63 divisors (see below), whose sum is σ = 242817523. Its totient is φ = 28090752.

The previous prime is 84492853. The next prime is 84492883. The reversal of 84492864 is 46829448.

The square root of 84492864 is 9192.

It is a perfect power (a square), and thus also a powerful number.

84492864 is a `hidden beast` number, since 84 + 492 + 86 + 4 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 220417 + ... + 220799.

Almost surely, 2^84492864 is an apocalyptic number.

84492864 is the 9192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84492864

84492864 is an abundant number, since it is smaller than the sum of its proper divisors (158324659).

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

84492864 is an equidigital number, since it uses as much as digits as its factorization.

84492864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 388 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The cubic root of 84492864 is about 438.8067947030.

The spelling of 84492864 in words is "eighty-four million, four hundred ninety-two thousand, eight hundred sixty-four".