114599040 has 128 divisors (see below), whose sum is σ = 386881920. Its totient is φ = 28753920.

The previous prime is 114598997. The next prime is 114599071. The reversal of 114599040 is 40995411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114598992 and 114599010.

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, 30885 + ... + 34395.

It is an arithmetic number, because the mean of its divisors is an integer number (3022515).

Almost surely, 2^114599040 is an apocalyptic number.

114599040 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 114599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193440960).

114599040 is an abundant number, since it is smaller than the sum of its proper divisors (272282880).

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

114599040 is a wasteful number, since it uses less digits than its factorization.

114599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 114599040 is about 10705.0941144859. The cubic root of 114599040 is about 485.7285822122.

The spelling of 114599040 in words is "one hundred fourteen million, five hundred ninety-nine thousand, forty".