109680480 has 576 divisors, whose sum is σ = 493129728. Its totient is φ = 22394880.

The previous prime is 109680463. The next prime is 109680497. The reversal of 109680480 is 84086901.

It is a happy number.

109680480 is a `hidden beast` number, since 10 + 96 + 80 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (109680463) and next prime (109680497).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3538065 + ... + 3538095.

It is an arithmetic number, because the mean of its divisors is an integer number (856128).

Almost surely, 2^109680480 is an apocalyptic number.

109680480 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 109680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246564864).

109680480 is an abundant number, since it is smaller than the sum of its proper divisors (383449248).

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

109680480 is a wasteful number, since it uses less digits than its factorization.

109680480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 109680480 is about 10472.8448857032. The cubic root of 109680480 is about 478.6776101898.

The spelling of 109680480 in words is "one hundred nine million, six hundred eighty thousand, four hundred eighty".