84413664 has 120 divisors (see below), whose sum is σ = 257047560. Its totient is φ = 27143424.

The previous prime is 84413663. The next prime is 84413671. The reversal of 84413664 is 46631448.

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 (84413663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74607 + ... + 75729.

It is an arithmetic number, because the mean of its divisors is an integer number (2142063).

Almost surely, 2^84413664 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 84413664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128523780).

84413664 is an abundant number, since it is smaller than the sum of its proper divisors (172633896).

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

84413664 is a wasteful number, since it uses less digits than its factorization.

84413664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1157 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 84413664 is about 9187.6908959760. The cubic root of 84413664 is about 438.6696455957.

The spelling of 84413664 in words is "eighty-four million, four hundred thirteen thousand, six hundred sixty-four".