114044640 has 96 divisors (see below), whose sum is σ = 365420160. Its totient is φ = 29889024.

The previous prime is 114044639. The next prime is 114044641. The reversal of 114044640 is 46440411.

It is an interprime number because it is at equal distance from previous prime (114044639) and next prime (114044641).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114044640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114044641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26307 + ... + 30333.

It is an arithmetic number, because the mean of its divisors is an integer number (3806460).

Almost surely, 2^114044640 is an apocalyptic number.

114044640 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 114044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182710080).

114044640 is an abundant number, since it is smaller than the sum of its proper divisors (251375520).

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

114044640 is a wasteful number, since it uses less digits than its factorization.

114044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 114044640 is about 10679.1685069578. The cubic root of 114044640 is about 484.9440400238.

The spelling of 114044640 in words is "one hundred fourteen million, forty-four thousand, six hundred forty".