84936192 has 120 divisors (see below), whose sum is σ = 249260088. Its totient is φ = 25681920.

The previous prime is 84936167. The next prime is 84936193. The reversal of 84936192 is 29163948.

It is a super-2 number, since 2×84936192² = 14428313422921728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84936193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185628 + ... + 186084.

Almost surely, 2^84936192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84936192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124630044).

84936192 is an abundant number, since it is smaller than the sum of its proper divisors (164323896).

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

84936192 is a wasteful number, since it uses less digits than its factorization.

84936192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 473 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 84936192 is about 9216.0833329566. The cubic root of 84936192 is about 439.5729189260.

The spelling of 84936192 in words is "eighty-four million, nine hundred thirty-six thousand, one hundred ninety-two".