114314640 has 320 divisors, whose sum is σ = 424258560. Its totient is φ = 25159680.

The previous prime is 114314633. The next prime is 114314677. The reversal of 114314640 is 46413411.

114314640 = 93² + 94² + ... + 700².

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 114314640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2156854 + ... + 2156906.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2^114314640 is an apocalyptic number.

114314640 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 114314640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

114314640 is an abundant number, since it is smaller than the sum of its proper divisors (309943920).

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

114314640 is a wasteful number, since it uses less digits than its factorization.

114314640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 114314640 is about 10691.8024673111. The cubic root of 114314640 is about 485.3264391069.

The spelling of 114314640 in words is "one hundred fourteen million, three hundred fourteen thousand, six hundred forty".