109617840 has 160 divisors (see below), whose sum is σ = 397593600. Its totient is φ = 27682560.

The previous prime is 109617803. The next prime is 109617863. The reversal of 109617840 is 48716901.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109617795 and 109617804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39705 + ... + 42375.

It is an arithmetic number, because the mean of its divisors is an integer number (2484960).

Almost surely, 2^109617840 is an apocalyptic number.

109617840 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 109617840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198796800).

109617840 is an abundant number, since it is smaller than the sum of its proper divisors (287975760).

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

109617840 is a wasteful number, since it uses less digits than its factorization.

109617840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 109617840 is about 10469.8538671750. The cubic root of 109617840 is about 478.5864664254.

The spelling of 109617840 in words is "one hundred nine million, six hundred seventeen thousand, eight hundred forty".