114627200 has 96 divisors (see below), whose sum is σ = 286572060. Its totient is φ = 45301760.

The previous prime is 114627197. The next prime is 114627203. The reversal of 114627200 is 2726411.

It is an interprime number because it is at equal distance from previous prime (114627197) and next prime (114627203).

It can be written as a sum of positive squares in 6 ways, for example, as 222784 + 114404416 = 472^2 + 10696^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (114627203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361442 + ... + 361758.

Almost surely, 2^114627200 is an apocalyptic number.

114627200 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 114627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143286030).

114627200 is an abundant number, since it is smaller than the sum of its proper divisors (171944860).

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

114627200 is a wasteful number, since it uses less digits than its factorization.

114627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 114627200 is about 10706.4092953707. The cubic root of 114627200 is about 485.7683643857.

The spelling of 114627200 in words is "one hundred fourteen million, six hundred twenty-seven thousand, two hundred".