114965760 has 432 divisors, whose sum is σ = 469760256. Its totient is φ = 23740416.

The previous prime is 114965749. The next prime is 114965783. The reversal of 114965760 is 67569411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2446057 + ... + 2446103.

It is an arithmetic number, because the mean of its divisors is an integer number (1087408).

Almost surely, 2^114965760 is an apocalyptic number.

114965760 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 114965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234880128).

114965760 is an abundant number, since it is smaller than the sum of its proper divisors (354794496).

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

114965760 is a wasteful number, since it uses less digits than its factorization.

114965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 114965760 is about 10722.2087276829. The cubic root of 114965760 is about 486.2461453601.

The spelling of 114965760 in words is "one hundred fourteen million, nine hundred sixty-five thousand, seven hundred sixty".