114940800 has 288 divisors, whose sum is σ = 443122680. Its totient is φ = 28200960.

The previous prime is 114940783. The next prime is 114940801. The reversal of 114940800 is 8049411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×114940800² = 26422775009280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114940801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 374247 + ... + 374553.

Almost surely, 2^114940800 is an apocalyptic number.

114940800 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 114940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221561340).

114940800 is an abundant number, since it is smaller than the sum of its proper divisors (328181880).

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

114940800 is a wasteful number, since it uses less digits than its factorization.

114940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 114940800 is about 10721.0447252122. The cubic root of 114940800 is about 486.2109534844.

The spelling of 114940800 in words is "one hundred fourteen million, nine hundred forty thousand, eight hundred".