114399840 has 96 divisors (see below), whose sum is σ = 369212256. Its totient is φ = 29757440.

The previous prime is 114399839. The next prime is 114399841. The reversal of 114399840 is 48993411.

It is an interprime number because it is at equal distance from previous prime (114399839) and next prime (114399841).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114399841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16774 + ... + 22586.

It is an arithmetic number, because the mean of its divisors is an integer number (3845961).

Almost surely, 2^114399840 is an apocalyptic number.

114399840 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 114399840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184606128).

114399840 is an abundant number, since it is smaller than the sum of its proper divisors (254812416).

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

114399840 is a wasteful number, since it uses less digits than its factorization.

114399840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5872 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 114399840 is about 10695.7860861182. The cubic root of 114399840 is about 485.4469822676.

The spelling of 114399840 in words is "one hundred fourteen million, three hundred ninety-nine thousand, eight hundred forty".