114633640 has 64 divisors (see below), whose sum is σ = 286053120. Its totient is φ = 40992000.

The previous prime is 114633619. The next prime is 114633653. The reversal of 114633640 is 46336411.

It is a junction number, because it is equal to n+sod(n) for n = 114633599 and 114633608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24705 + ... + 28975.

It is an arithmetic number, because the mean of its divisors is an integer number (4469580).

Almost surely, 2^114633640 is an apocalyptic number.

114633640 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 114633640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143026560).

114633640 is an abundant number, since it is smaller than the sum of its proper divisors (171419480).

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

114633640 is a wasteful number, since it uses less digits than its factorization.

114633640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4354 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 114633640 is about 10706.7100455742. The cubic root of 114633640 is about 485.7774613821. Note that the first 3 decimals are identical.

It can be divided in two parts, 1 and 14633640, that added together give a palindrome (14633641).

The spelling of 114633640 in words is "one hundred fourteen million, six hundred thirty-three thousand, six hundred forty".