114099840 has 320 divisors, whose sum is σ = 426539520. Its totient is φ = 29030400.

The previous prime is 114099827. The next prime is 114099857. The reversal of 114099840 is 48990411.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 114099795 and 114099804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1607005 + ... + 1607075.

It is an arithmetic number, because the mean of its divisors is an integer number (1332936).

Almost surely, 2^114099840 is an apocalyptic number.

114099840 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 114099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213269760).

114099840 is an abundant number, since it is smaller than the sum of its proper divisors (312439680).

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

114099840 is an equidigital number, since it uses as much as digits as its factorization.

114099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 114099840 is about 10681.7526651763. The cubic root of 114099840 is about 485.0222684359.

The spelling of 114099840 in words is "one hundred fourteen million, ninety-nine thousand, eight hundred forty".