109676560 has 80 divisors (see below), whose sum is σ = 293731200. Its totient is φ = 37306368.

The previous prime is 109676551. The next prime is 109676629. The reversal of 109676560 is 65676901.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77136 + ... + 78544.

It is an arithmetic number, because the mean of its divisors is an integer number (3671640).

Almost surely, 2^109676560 is an apocalyptic number.

109676560 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 109676560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146865600).

109676560 is an abundant number, since it is smaller than the sum of its proper divisors (184054640).

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

109676560 is a wasteful number, since it uses less digits than its factorization.

109676560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 109676560 is about 10472.6577333550. The cubic root of 109676560 is about 478.6719074473.

The spelling of 109676560 in words is "one hundred nine million, six hundred seventy-six thousand, five hundred sixty".