113720640 has 224 divisors, whose sum is σ = 401604480. Its totient is φ = 27258880.

The previous prime is 113720639. The next prime is 113720657. The reversal of 113720640 is 46027311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113720640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277716 + ... + 1277804.

Almost surely, 2^113720640 is an apocalyptic number.

113720640 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 113720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200802240).

113720640 is an abundant number, since it is smaller than the sum of its proper divisors (287883840).

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

113720640 is an equidigital number, since it uses as much as digits as its factorization.

113720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 113720640 is about 10663.9879969925. The cubic root of 113720640 is about 484.4843635957.

Adding to 113720640 its reverse (46027311), we get a palindrome (159747951).

The spelling of 113720640 in words is "one hundred thirteen million, seven hundred twenty thousand, six hundred forty".