84404992 has 144 divisors (see below), whose sum is σ = 211267840. Its totient is φ = 32845824.

The previous prime is 84404981. The next prime is 84405053. The reversal of 84404992 is 29940448.

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 15 ways as a sum of consecutive naturals, for example, 1259743 + ... + 1259809.

Almost surely, 2^84404992 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 84404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105633920).

84404992 is an abundant number, since it is smaller than the sum of its proper divisors (126862848).

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

84404992 is a wasteful number, since it uses less digits than its factorization.

84404992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 84404992 is about 9187.2189480822. The cubic root of 84404992 is about 438.6546232511.

The spelling of 84404992 in words is "eighty-four million, four hundred four thousand, nine hundred ninety-two".