114067904 has 56 divisors (see below), whose sum is σ = 240030000. Its totient is φ = 53688320.

The previous prime is 114067903. The next prime is 114067927. The reversal of 114067904 is 409760411.

It is a super-3 number, since 3×114067904³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114067901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75347 + ... + 76845.

It is an arithmetic number, because the mean of its divisors is an integer number (4286250).

Almost surely, 2^114067904 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 114067904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120015000).

114067904 is an abundant number, since it is smaller than the sum of its proper divisors (125962096).

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

114067904 is a wasteful number, since it uses less digits than its factorization.

114067904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 114067904 is about 10680.2576747942. The cubic root of 114067904 is about 484.9770124082.

The spelling of 114067904 in words is "one hundred fourteen million, sixty-seven thousand, nine hundred four".