114602976 has 72 divisors (see below), whose sum is σ = 327010320. Its totient is φ = 38071296.

The previous prime is 114602963. The next prime is 114602989. The reversal of 114602976 is 679206411.

It is an interprime number because it is at equal distance from previous prime (114602963) and next prime (114602989).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 114602976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124245 + ... + 125163.

It is an arithmetic number, because the mean of its divisors is an integer number (4541810).

Almost surely, 2^114602976 is an apocalyptic number.

114602976 is a gapful number since it is divisible by the number (16) 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 114602976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163505160).

114602976 is an abundant number, since it is smaller than the sum of its proper divisors (212407344).

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

114602976 is a wasteful number, since it uses less digits than its factorization.

114602976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 114602976 is about 10705.2779506186. The cubic root of 114602976 is about 485.7341430669.

The spelling of 114602976 in words is "one hundred fourteen million, six hundred two thousand, nine hundred seventy-six".