8672901120 has 768 divisors, whose sum is σ = 35223552000. Its totient is φ = 2006581248.

The previous prime is 8672901113. The next prime is 8672901131. The reversal of 8672901120 is 211092768.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 68290497 + ... + 68290623.

It is an arithmetic number, because the mean of its divisors is an integer number (45864000).

Almost surely, 2^8672901120 is an apocalyptic number.

8672901120 is a gapful number since it is divisible by the number (80) 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 8672901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776000).

8672901120 is an abundant number, since it is smaller than the sum of its proper divisors (26550650880).

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

8672901120 is a wasteful number, since it uses less digits than its factorization.

8672901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 8672901120 is about 93128.4119911856. The cubic root of 8672901120 is about 2054.5724722002.

Adding to 8672901120 its reverse (211092768), we get a palindrome (8883993888).

The spelling of 8672901120 in words is "eight billion, six hundred seventy-two million, nine hundred one thousand, one hundred twenty".