872180064 has 144 divisors (see below), whose sum is σ = 2867024160. Its totient is φ = 246343680.

The previous prime is 872180027. The next prime is 872180093. The reversal of 872180064 is 460081278.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176994 + ... + 181854.

It is an arithmetic number, because the mean of its divisors is an integer number (19909890).

Almost surely, 2^872180064 is an apocalyptic number.

872180064 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 872180064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433512080).

872180064 is an abundant number, since it is smaller than the sum of its proper divisors (1994844096).

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

872180064 is a wasteful number, since it uses less digits than its factorization.

872180064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 872180064 is about 29532.6948313221. The cubic root of 872180064 is about 955.4369916071.

The spelling of 872180064 in words is "eight hundred seventy-two million, one hundred eighty thousand, sixty-four".