114884000 has 192 divisors, whose sum is σ = 352864512. Its totient is φ = 35712000.

The previous prime is 114883981. The next prime is 114884041. The reversal of 114884000 is 488411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307814 + ... + 308186.

It is an arithmetic number, because the mean of its divisors is an integer number (1837836).

Almost surely, 2^114884000 is an apocalyptic number.

114884000 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 114884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176432256).

114884000 is an abundant number, since it is smaller than the sum of its proper divisors (237980512).

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

114884000 is a wasteful number, since it uses less digits than its factorization.

114884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 114884000 is about 10718.3954022979. The cubic root of 114884000 is about 486.1308504154.

The spelling of 114884000 in words is "one hundred fourteen million, eight hundred eighty-four thousand".