114688000 has 144 divisors (see below), whose sum is σ = 327154464. Its totient is φ = 39321600.

The previous prime is 114687977. The next prime is 114688019. The reversal of 114688000 is 886411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 114688000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16383997 + ... + 16384003.

It is an arithmetic number, because the mean of its divisors is an integer number (2271906).

Almost surely, 2^114688000 is an apocalyptic number.

114688000 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 114688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163577232).

114688000 is an abundant number, since it is smaller than the sum of its proper divisors (212466464).

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

114688000 is an frugal number, since it uses more digits than its factorization.

114688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 114688000 is about 10709.2483396362. The cubic root of 114688000 is about 485.8542355001.

114688000 divided by its sum of digits (28) gives a cube (4096000 = 160³).

The spelling of 114688000 in words is "one hundred fourteen million, six hundred eighty-eight thousand".