92049984 has 168 divisors, whose sum is σ = 299557440. Its totient is φ = 26790912.

The previous prime is 92049977. The next prime is 92050033. The reversal of 92049984 is 48994029.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141949 + ... + 142595.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 2^92049984 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 92049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

92049984 is an abundant number, since it is smaller than the sum of its proper divisors (207507456).

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

92049984 is a wasteful number, since it uses less digits than its factorization.

92049984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 92049984 is about 9594.2682889317. The cubic root of 92049984 is about 451.5174844132.

The spelling of 92049984 in words is "ninety-two million, forty-nine thousand, nine hundred eighty-four".