84556164 has 144 divisors (see below), whose sum is σ = 265446720. Its totient is φ = 20643840.

The previous prime is 84556163. The next prime is 84556169. The reversal of 84556164 is 46165548.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (84556163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109572 + ... + 110340.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 2^84556164 is an apocalyptic number.

84556164 is a gapful number since it is divisible by the number (84) 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 84556164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132723360).

84556164 is an abundant number, since it is smaller than the sum of its proper divisors (180890556).

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

84556164 is a wasteful number, since it uses less digits than its factorization.

84556164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 809 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 84556164 is about 9195.4425668371. The cubic root of 84556164 is about 438.9163484775.

The spelling of 84556164 in words is "eighty-four million, five hundred fifty-six thousand, one hundred sixty-four".