114892800 has 336 divisors, whose sum is σ = 438802272. Its totient is φ = 26214400.

The previous prime is 114892793. The next prime is 114892801. The reversal of 114892800 is 8298411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114892801) 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, 6758392 + ... + 6758408.

Almost surely, 2^114892800 is an apocalyptic number.

114892800 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 114892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219401136).

114892800 is an abundant number, since it is smaller than the sum of its proper divisors (323909472).

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

114892800 is a wasteful number, since it uses less digits than its factorization.

114892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 114892800 is about 10718.8059036443. The cubic root of 114892800 is about 486.1432624781.

The spelling of 114892800 in words is "one hundred fourteen million, eight hundred ninety-two thousand, eight hundred".