114686820 has 48 divisors (see below), whose sum is σ = 356805120. Its totient is φ = 30583008.

The previous prime is 114686807. The next prime is 114686821. The reversal of 114686820 is 28686411.

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

It is not an unprimeable number, because it can be changed into a prime (114686821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105652 + ... + 106731.

It is an arithmetic number, because the mean of its divisors is an integer number (7433440).

Almost surely, 2^114686820 is an apocalyptic number.

114686820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114686820 is an abundant number, since it is smaller than the sum of its proper divisors (242118300).

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

114686820 is a wasteful number, since it uses less digits than its factorization.

114686820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212401 (or 212393 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 114686820 is about 10709.1932469257. The cubic root of 114686820 is about 485.8525692114.

The spelling of 114686820 in words is "one hundred fourteen million, six hundred eighty-six thousand, eight hundred twenty".