114786720 has 240 divisors, whose sum is σ = 429754248. Its totient is φ = 28753920.

The previous prime is 114786713. The next prime is 114786731. The reversal of 114786720 is 27687411.

It can be written as a sum of positive squares in 4 ways, for example, as 95179536 + 19607184 = 9756^2 + 4428^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220060 + ... + 220580.

Almost surely, 2^114786720 is an apocalyptic number.

114786720 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 114786720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214877124).

114786720 is an abundant number, since it is smaller than the sum of its proper divisors (314967528).

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

114786720 is a wasteful number, since it uses less digits than its factorization.

114786720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 114786720 is about 10713.8564485436. The cubic root of 114786720 is about 485.9935984525.

The spelling of 114786720 in words is "one hundred fourteen million, seven hundred eighty-six thousand, seven hundred twenty".