114962800 has 60 divisors (see below), whose sum is σ = 278013456. Its totient is φ = 45683200.

The previous prime is 114962773. The next prime is 114962831. The reversal of 114962800 is 8269411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 65940 + ... + 67660.

Almost surely, 2^114962800 is an apocalyptic number.

114962800 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 114962800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139006728).

114962800 is an abundant number, since it is smaller than the sum of its proper divisors (163050656).

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

114962800 is a wasteful number, since it uses less digits than its factorization.

114962800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 114962800 is about 10722.0706955326. The cubic root of 114962800 is about 486.2419722309.

The spelling of 114962800 in words is "one hundred fourteen million, nine hundred sixty-two thousand, eight hundred".