114596640 has 192 divisors, whose sum is σ = 411505920. Its totient is φ = 29767680.

The previous prime is 114596639. The next prime is 114596687. The reversal of 114596640 is 46695411.

114596640 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 9 + 6 + 640 = 666.

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 = 114596595 and 114596604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176797 + ... + 177443.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 2^114596640 is an apocalyptic number.

114596640 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 114596640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205752960).

114596640 is an abundant number, since it is smaller than the sum of its proper divisors (296909280).

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

114596640 is a wasteful number, since it uses less digits than its factorization.

114596640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 114596640 is about 10704.9820177336. The cubic root of 114596640 is about 485.7251913847.

The spelling of 114596640 in words is "one hundred fourteen million, five hundred ninety-six thousand, six hundred forty".