114960090 has 64 divisors (see below), whose sum is σ = 325509120. Its totient is φ = 25427520.

The previous prime is 114960071. The next prime is 114960101. The reversal of 114960090 is 90069411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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, 2320 + ... + 15339.

It is an arithmetic number, because the mean of its divisors is an integer number (5086080).

Almost surely, 2^114960090 is an apocalyptic number.

114960090 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 114960090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162754560).

114960090 is an abundant number, since it is smaller than the sum of its proper divisors (210549030).

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

114960090 is a wasteful number, since it uses less digits than its factorization.

114960090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17707.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 114960090 is about 10721.9443199450. The cubic root of 114960090 is about 486.2381514990.

The spelling of 114960090 in words is "one hundred fourteen million, nine hundred sixty thousand, ninety".