114004820 has 24 divisors (see below), whose sum is σ = 239747424. Its totient is φ = 45537696.

The previous prime is 114004819. The next prime is 114004823. The reversal of 114004820 is 28400411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 114004792 and 114004801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114004823) 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, 12119 + ... + 19361.

It is an arithmetic number, because the mean of its divisors is an integer number (9989476).

Almost surely, 2^114004820 is an apocalyptic number.

114004820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114004820 is an abundant number, since it is smaller than the sum of its proper divisors (125742604).

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

114004820 is a wasteful number, since it uses less digits than its factorization.

114004820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8039 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 114004820 is about 10677.3039668261. The cubic root of 114004820 is about 484.8875921873.

The spelling of 114004820 in words is "one hundred fourteen million, four thousand, eight hundred twenty".