114955764 has 96 divisors (see below), whose sum is σ = 341376000. Its totient is φ = 29846880.

The previous prime is 114955723. The next prime is 114955783. The reversal of 114955764 is 467559411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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, 44007 + ... + 46545.

It is an arithmetic number, because the mean of its divisors is an integer number (3556000).

Almost surely, 2^114955764 is an apocalyptic number.

114955764 is a gapful number since it is divisible by the number (14) 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 114955764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170688000).

114955764 is an abundant number, since it is smaller than the sum of its proper divisors (226420236).

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

114955764 is a wasteful number, since it uses less digits than its factorization.

114955764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2562 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 114955764 is about 10721.7425822485. The cubic root of 114955764 is about 486.2320523022.

The spelling of 114955764 in words is "one hundred fourteen million, nine hundred fifty-five thousand, seven hundred sixty-four".