114080736 has 288 divisors, whose sum is σ = 398974464. Its totient is φ = 27878400.

The previous prime is 114080723. The next prime is 114080767. The reversal of 114080736 is 637080411.

114080736 = 29² + 30² + ... + 699².

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1870146 + ... + 1870206.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 2^114080736 is an apocalyptic number.

114080736 is a gapful number since it is divisible by the number (16) 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 114080736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199487232).

114080736 is an abundant number, since it is smaller than the sum of its proper divisors (284893728).

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

114080736 is a wasteful number, since it uses less digits than its factorization.

114080736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 114080736 is about 10680.8583924701. The cubic root of 114080736 is about 484.9951974584.

The spelling of 114080736 in words is "one hundred fourteen million, eighty thousand, seven hundred thirty-six".