84085632 has 96 divisors (see below), whose sum is σ = 247272480. Its totient is φ = 27414528.

The previous prime is 84085627. The next prime is 84085643. The reversal of 84085632 is 23658048.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53368 + ... + 54920.

It is an arithmetic number, because the mean of its divisors is an integer number (2575755).

Almost surely, 2^84085632 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 84085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123636240).

84085632 is an abundant number, since it is smaller than the sum of its proper divisors (163186848).

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

84085632 is a wasteful number, since it uses less digits than its factorization.

84085632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 84085632 is about 9169.8218085195. The cubic root of 84085632 is about 438.1006836782.

The spelling of 84085632 in words is "eighty-four million, eighty-five thousand, six hundred thirty-two".