114220764 has 108 divisors (see below), whose sum is σ = 340848144. Its totient is φ = 32151168.

The previous prime is 114220751. The next prime is 114220811. The reversal of 114220764 is 467022411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128329 + ... + 129215.

Almost surely, 2^114220764 is an apocalyptic number.

114220764 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 114220764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170424072).

114220764 is an abundant number, since it is smaller than the sum of its proper divisors (226627380).

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

114220764 is a wasteful number, since it uses less digits than its factorization.

114220764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 114220764 is about 10687.4114733176. The cubic root of 114220764 is about 485.1935515432.

The spelling of 114220764 in words is "one hundred fourteen million, two hundred twenty thousand, seven hundred sixty-four".