114961590 has 192 divisors, whose sum is σ = 341452800. Its totient is φ = 26687232.

The previous prime is 114961589. The next prime is 114961619. The reversal of 114961590 is 95169411.

114961590 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 61 + 590 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1455171 + ... + 1455249.

It is an arithmetic number, because the mean of its divisors is an integer number (1778400).

Almost surely, 2^114961590 is an apocalyptic number.

114961590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114961590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170726400).

114961590 is an abundant number, since it is smaller than the sum of its proper divisors (226491210).

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

114961590 is a wasteful number, since it uses less digits than its factorization.

114961590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 114961590 is about 10722.0142697163. The cubic root of 114961590 is about 486.2402663026.

The spelling of 114961590 in words is "one hundred fourteen million, nine hundred sixty-one thousand, five hundred ninety".