84409632 has 72 divisors (see below), whose sum is σ = 250496064. Its totient is φ = 26911104.

The previous prime is 84409627. The next prime is 84409651. The reversal of 84409632 is 23690448.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253 + ... + 12995.

It is an arithmetic number, because the mean of its divisors is an integer number (3479112).

Almost surely, 2^84409632 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 84409632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125248032).

84409632 is an abundant number, since it is smaller than the sum of its proper divisors (166086432).

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

84409632 is a wasteful number, since it uses less digits than its factorization.

84409632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12782 (or 12771 counting only the distinct ones).

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

The square root of 84409632 is about 9187.4714693435. The cubic root of 84409632 is about 438.6626611649.

It can be divided in two parts, 844096 and 32, that multiplied together give a palindrome (27011072).

The spelling of 84409632 in words is "eighty-four million, four hundred nine thousand, six hundred thirty-two".