84933632 has 132 divisors (see below), whose sum is σ = 211152144. Its totient is φ = 33423360.

The previous prime is 84933623. The next prime is 84933637. The reversal of 84933632 is 23633948.

It is a super-2 number, since 2×84933632² = 14427443689422848, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84933637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2071532 + ... + 2071572.

Almost surely, 2^84933632 is an apocalyptic number.

84933632 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 84933632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105576072).

84933632 is an abundant number, since it is smaller than the sum of its proper divisors (126218512).

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

84933632 is a wasteful number, since it uses less digits than its factorization.

84933632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its digits is 93312, while the sum is 38.

The square root of 84933632 is about 9215.9444442770. The cubic root of 84933632 is about 439.5685025991.

The spelling of 84933632 in words is "eighty-four million, nine hundred thirty-three thousand, six hundred thirty-two".