114057840 has 160 divisors (see below), whose sum is σ = 384975360. Its totient is φ = 27767808.

The previous prime is 114057803. The next prime is 114057857. The reversal of 114057840 is 48750411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114057798 and 114057807.

It is a congruent number.

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, 433549 + ... + 433811.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2^114057840 is an apocalyptic number.

114057840 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 114057840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192487680).

114057840 is an abundant number, since it is smaller than the sum of its proper divisors (270917520).

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

114057840 is a wasteful number, since it uses less digits than its factorization.

114057840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 114057840 is about 10679.7865147202. The cubic root of 114057840 is about 484.9627491140.

The spelling of 114057840 in words is "one hundred fourteen million, fifty-seven thousand, eight hundred forty".