114963840 has 128 divisors (see below), whose sum is σ = 407224800. Its totient is φ = 30652416.

The previous prime is 114963817. The next prime is 114963853. The reversal of 114963840 is 48369411.

114963840 is a `hidden beast` number, since 1 + 14 + 9 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 114963795 and 114963804.

It is a congruent number.

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, 13954 + ... + 20606.

Almost surely, 2^114963840 is an apocalyptic number.

114963840 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 114963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203612400).

114963840 is an abundant number, since it is smaller than the sum of its proper divisors (292260960).

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

114963840 is an equidigital number, since it uses as much as digits as its factorization.

114963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 114963840 is about 10722.1191935177. The cubic root of 114963840 is about 486.2434384736.

The spelling of 114963840 in words is "one hundred fourteen million, nine hundred sixty-three thousand, eight hundred forty".