114626920 has 64 divisors (see below), whose sum is σ = 275950800. Its totient is φ = 42700800.

The previous prime is 114626909. The next prime is 114626923. The reversal of 114626920 is 29626411.

It can be written as a sum of positive squares in 8 ways, for example, as 97337956 + 17288964 = 9866^2 + 4158^2 .

It is not an unprimeable number, because it can be changed into a prime (114626923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67846 + ... + 69514.

Almost surely, 2^114626920 is an apocalyptic number.

114626920 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 114626920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137975400).

114626920 is an abundant number, since it is smaller than the sum of its proper divisors (161323880).

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

114626920 is a wasteful number, since it uses less digits than its factorization.

114626920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 114626920 is about 10706.3962190832. The cubic root of 114626920 is about 485.7679688564.

The spelling of 114626920 in words is "one hundred fourteen million, six hundred twenty-six thousand, nine hundred twenty".