84991032 has 160 divisors (see below), whose sum is σ = 279306720. Its totient is φ = 23639040.

The previous prime is 84991021. The next prime is 84991033. The reversal of 84991032 is 23019948.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84991033) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 185748 + ... + 186204.

It is an arithmetic number, because the mean of its divisors is an integer number (1745667).

Almost surely, 2^84991032 is an apocalyptic number.

84991032 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84991032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139653360).

84991032 is an abundant number, since it is smaller than the sum of its proper divisors (194315688).

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

84991032 is a wasteful number, since it uses less digits than its factorization.

84991032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 84991032 is about 9219.0580863774. The cubic root of 84991032 is about 439.6675036255.

The spelling of 84991032 in words is "eighty-four million, nine hundred ninety-one thousand, thirty-two".