113671680 has 240 divisors, whose sum is σ = 392881104. Its totient is φ = 28016640.

The previous prime is 113671667. The next prime is 113671693. The reversal of 113671680 is 86176311.

It is an interprime number because it is at equal distance from previous prime (113671667) and next prime (113671693).

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

It is a congruent number.

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, 2772460 + ... + 2772500.

Almost surely, 2^113671680 is an apocalyptic number.

113671680 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 113671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196440552).

113671680 is an abundant number, since it is smaller than the sum of its proper divisors (279209424).

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

113671680 is an equidigital number, since it uses as much as digits as its factorization.

113671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 113671680 is about 10661.6921733841. The cubic root of 113671680 is about 484.4148254733.

The spelling of 113671680 in words is "one hundred thirteen million, six hundred seventy-one thousand, six hundred eighty".