114071904 has 144 divisors (see below), whose sum is σ = 358761312. Its totient is φ = 34197504.

The previous prime is 114071873. The next prime is 114071933. The reversal of 114071904 is 409170411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112102 + ... + 113114.

It is an arithmetic number, because the mean of its divisors is an integer number (2491398).

Almost surely, 2^114071904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114071904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179380656).

114071904 is an abundant number, since it is smaller than the sum of its proper divisors (244689408).

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

114071904 is a wasteful number, since it uses less digits than its factorization.

114071904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 114071904 is about 10680.4449345521. Note that the first 3 decimals coincide. The cubic root of 114071904 is about 484.9826812110.

The spelling of 114071904 in words is "one hundred fourteen million, seventy-one thousand, nine hundred four".