114430640 has 80 divisors (see below), whose sum is σ = 277800672. Its totient is φ = 43794432.

The previous prime is 114430627. The next prime is 114430661. The reversal of 114430640 is 46034411.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198032 + ... + 198608.

Almost surely, 2^114430640 is an apocalyptic number.

114430640 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 114430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138900336).

114430640 is an abundant number, since it is smaller than the sum of its proper divisors (163370032).

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

114430640 is a wasteful number, since it uses less digits than its factorization.

114430640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 114430640 is about 10697.2258085917. The cubic root of 114430640 is about 485.4905441741.

The spelling of 114430640 in words is "one hundred fourteen million, four hundred thirty thousand, six hundred forty".