113840640 has 280 divisors, whose sum is σ = 415947708. Its totient is φ = 29859840.

The previous prime is 113840621. The next prime is 113840663. The reversal of 113840640 is 46048311.

113840640 is a `hidden beast` number, since 1 + 13 + 8 + 4 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98724096 + 15116544 = 9936^2 + 3888^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1866210 + ... + 1866270.

Almost surely, 2^113840640 is an apocalyptic number.

113840640 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 113840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207973854).

113840640 is an abundant number, since it is smaller than the sum of its proper divisors (302107068).

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

113840640 is an frugal number, since it uses more digits than its factorization.

113840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 113840640 is about 10669.6129264374. The cubic root of 113840640 is about 484.6547158031.

Adding to 113840640 its reverse (46048311), we get a palindrome (159888951).

The spelling of 113840640 in words is "one hundred thirteen million, eight hundred forty thousand, six hundred forty".