108564720 has 320 divisors, whose sum is σ = 404974080. Its totient is φ = 23756800.

The previous prime is 108564667. The next prime is 108564739. The reversal of 108564720 is 27465801.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 1840051 + ... + 1840109.

It is an arithmetic number, because the mean of its divisors is an integer number (1265544).

Almost surely, 2^108564720 is an apocalyptic number.

108564720 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 108564720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202487040).

108564720 is an abundant number, since it is smaller than the sum of its proper divisors (296409360).

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

108564720 is a wasteful number, since it uses less digits than its factorization.

108564720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 108564720 is about 10419.4395242738. The cubic root of 108564720 is about 477.0489074316.

It can be divided in two parts, 10856 and 4720, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 108564720 in words is "one hundred eight million, five hundred sixty-four thousand, seven hundred twenty".