84661632 has 256 divisors, whose sum is σ = 290822400. Its totient is φ = 23961600.

The previous prime is 84661601. The next prime is 84661639. The reversal of 84661632 is 23616648.

84661632 is a `hidden beast` number, since 8 + 4 + 6 + 616 + 32 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84661639) 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 31 ways as a sum of consecutive naturals, for example, 646207 + ... + 646337.

It is an arithmetic number, because the mean of its divisors is an integer number (1136025).

Almost surely, 2^84661632 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 84661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145411200).

84661632 is an abundant number, since it is smaller than the sum of its proper divisors (206160768).

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

84661632 is a wasteful number, since it uses less digits than its factorization.

84661632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 84661632 is about 9201.1755770662. The cubic root of 84661632 is about 439.0987613411.

It can be divided in two parts, 846616 and 32, that added together give a palindrome (846648).

The spelling of 84661632 in words is "eighty-four million, six hundred sixty-one thousand, six hundred thirty-two".