113983776 has 144 divisors (see below), whose sum is σ = 354751488. Its totient is φ = 34560000.

The previous prime is 113983763. The next prime is 113983777. The reversal of 113983776 is 677389311.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (113983777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151401 + ... + 152151.

It is an arithmetic number, because the mean of its divisors is an integer number (2463552).

Almost surely, 2^113983776 is an apocalyptic number.

113983776 is a gapful number since it is divisible by the number (16) 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 113983776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177375744).

113983776 is an abundant number, since it is smaller than the sum of its proper divisors (240767712).

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

113983776 is a wasteful number, since it uses less digits than its factorization.

113983776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 804 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 113983776 is about 10676.3184665876. The cubic root of 113983776 is about 484.8577554301.

The spelling of 113983776 in words is "one hundred thirteen million, nine hundred eighty-three thousand, seven hundred seventy-six".