114606720 has 192 divisors, whose sum is σ = 401698440. Its totient is φ = 30105600.

The previous prime is 114606697. The next prime is 114606731. The reversal of 114606720 is 27606411.

It can be written as a sum of positive squares in 4 ways, for example, as 112021056 + 2585664 = 10584^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581662 + ... + 581858.

Almost surely, 2^114606720 is an apocalyptic number.

114606720 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 114606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200849220).

114606720 is an abundant number, since it is smaller than the sum of its proper divisors (287091720).

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

114606720 is a wasteful number, since it uses less digits than its factorization.

114606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 114606720 is about 10705.4528162054. The cubic root of 114606720 is about 485.7394325422.

The spelling of 114606720 in words is "one hundred fourteen million, six hundred six thousand, seven hundred twenty".