114710904 has 320 divisors, whose sum is σ = 425145600. Its totient is φ = 28226880.

The previous prime is 114710903. The next prime is 114710929. The reversal of 114710904 is 409017411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114710903) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6037407 + ... + 6037425.

It is an arithmetic number, because the mean of its divisors is an integer number (1328580).

Almost surely, 2^114710904 is an apocalyptic number.

114710904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114710904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212572800).

114710904 is an abundant number, since it is smaller than the sum of its proper divisors (310434696).

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

114710904 is a wasteful number, since it uses less digits than its factorization.

114710904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

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

The square root of 114710904 is about 10710.3176423484. The cubic root of 114710904 is about 485.8865761830.

It can be divided in two parts, 11 and 4710904, that added together give a triangular number (4710915 = T₃₀₆₉).

The spelling of 114710904 in words is "one hundred fourteen million, seven hundred ten thousand, nine hundred four".