108764560 has 40 divisors (see below), whose sum is σ = 255218040. Its totient is φ = 43103232.

The previous prime is 108764549. The next prime is 108764561. The reversal of 108764560 is 65467801.

It can be written as a sum of positive squares in 4 ways, for example, as 27331984 + 81432576 = 5228^2 + 9024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108764561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2484 + ... + 14956.

It is an arithmetic number, because the mean of its divisors is an integer number (6380451).

Almost surely, 2^108764560 is an apocalyptic number.

108764560 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 108764560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127609020).

108764560 is an abundant number, since it is smaller than the sum of its proper divisors (146453480).

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

108764560 is a wasteful number, since it uses less digits than its factorization.

108764560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12595 (or 12589 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 108764560 is about 10429.0248825094. The cubic root of 108764560 is about 477.3414365287.

The spelling of 108764560 in words is "one hundred eight million, seven hundred sixty-four thousand, five hundred sixty".