114365680 has 120 divisors (see below), whose sum is σ = 314511120. Its totient is φ = 38338560.

The previous prime is 114365663. The next prime is 114365689. The reversal of 114365680 is 86563411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114365689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148336 + ... + 149104.

It is an arithmetic number, because the mean of its divisors is an integer number (2620926).

Almost surely, 2^114365680 is an apocalyptic number.

114365680 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 114365680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157255560).

114365680 is an abundant number, since it is smaller than the sum of its proper divisors (200145440).

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

114365680 is a wasteful number, since it uses less digits than its factorization.

114365680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 114365680 is about 10694.1890763162. The cubic root of 114365680 is about 485.3986590072.

The spelling of 114365680 in words is "one hundred fourteen million, three hundred sixty-five thousand, six hundred eighty".