108564960 has 192 divisors, whose sum is σ = 396748800. Its totient is φ = 24440832.

The previous prime is 108564947. The next prime is 108564961. The reversal of 108564960 is 69465801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108564961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265236 + ... + 265644.

It is an arithmetic number, because the mean of its divisors is an integer number (2066400).

Almost surely, 2^108564960 is an apocalyptic number.

108564960 is a gapful number since it is divisible by the number (10) 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 108564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198374400).

108564960 is an abundant number, since it is smaller than the sum of its proper divisors (288183840).

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

108564960 is a wasteful number, since it uses less digits than its factorization.

108564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 108564960 is about 10419.4510412017. The cubic root of 108564960 is about 477.0492589628.

The spelling of 108564960 in words is "one hundred eight million, five hundred sixty-four thousand, nine hundred sixty".