114366820 has 24 divisors (see below), whose sum is σ = 254298744. Its totient is φ = 43055616.

The previous prime is 114366773. The next prime is 114366823. The reversal of 114366820 is 28663411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41912676 + 72454144 = 6474^2 + 8512^2 .

It is not an unprimeable number, because it can be changed into a prime (114366823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167847 + ... + 168526.

It is an arithmetic number, because the mean of its divisors is an integer number (10595781).

Almost surely, 2^114366820 is an apocalyptic number.

114366820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114366820 is an abundant number, since it is smaller than the sum of its proper divisors (139931924).

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

114366820 is a wasteful number, since it uses less digits than its factorization.

114366820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336399 (or 336397 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 114366820 is about 10694.2423761574. The cubic root of 114366820 is about 485.4002718239.

The spelling of 114366820 in words is "one hundred fourteen million, three hundred sixty-six thousand, eight hundred twenty".