113379840 has 480 divisors, whose sum is σ = 485147520. Its totient is φ = 23887872.

The previous prime is 113379809. The next prime is 113379899. The reversal of 113379840 is 48973311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 113379795 and 113379804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3064302 + ... + 3064338.

It is an arithmetic number, because the mean of its divisors is an integer number (1010724).

Almost surely, 2^113379840 is an apocalyptic number.

113379840 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 113379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242573760).

113379840 is an abundant number, since it is smaller than the sum of its proper divisors (371767680).

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

113379840 is a wasteful number, since it uses less digits than its factorization.

113379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 113379840 is about 10647.9969947404. The cubic root of 113379840 is about 483.9999089315. Note that the first 4 decimals are identical.

The spelling of 113379840 in words is "one hundred thirteen million, three hundred seventy-nine thousand, eight hundred forty".