108679680 has 240 divisors, whose sum is σ = 387798840. Its totient is φ = 28114944.

The previous prime is 108679679. The next prime is 108679709. The reversal of 108679680 is 86976801.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82301184 + 26378496 = 9072^2 + 5136^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×108679680² = 23622545689804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1221076 + ... + 1221164.

Almost surely, 2^108679680 is an apocalyptic number.

108679680 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 108679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193899420).

108679680 is an abundant number, since it is smaller than the sum of its proper divisors (279119160).

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

108679680 is an equidigital number, since it uses as much as digits as its factorization.

108679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 108679680 is about 10424.9546761605. The cubic root of 108679680 is about 477.2172315932.

The spelling of 108679680 in words is "one hundred eight million, six hundred seventy-nine thousand, six hundred eighty".