114831640 has 128 divisors (see below), whose sum is σ = 336337920. Its totient is φ = 34214400.

The previous prime is 114831631. The next prime is 114831659. The reversal of 114831640 is 46138411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 114831599 and 114831608.

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 31 ways as a sum of consecutive naturals, for example, 70030 + ... + 71650.

It is an arithmetic number, because the mean of its divisors is an integer number (2627640).

Almost surely, 2^114831640 is an apocalyptic number.

114831640 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 114831640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168168960).

114831640 is an abundant number, since it is smaller than the sum of its proper divisors (221506280).

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

114831640 is a wasteful number, since it uses less digits than its factorization.

114831640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 114831640 is about 10715.9525941467. The cubic root of 114831640 is about 486.0569855335.

The spelling of 114831640 in words is "one hundred fourteen million, eight hundred thirty-one thousand, six hundred forty".