114903360 has 560 divisors, whose sum is σ = 495677952. Its totient is φ = 24883200.

The previous prime is 114903359. The next prime is 114903413. The reversal of 114903360 is 63309411.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 3706545 + ... + 3706575.

Almost surely, 2^114903360 is an apocalyptic number.

114903360 is a gapful number since it is divisible by the number (10) 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 114903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247838976).

114903360 is an abundant number, since it is smaller than the sum of its proper divisors (380774592).

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

114903360 is a wasteful number, since it uses less digits than its factorization.

114903360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 114903360 is about 10719.2984845091. The cubic root of 114903360 is about 486.1581561169.

The spelling of 114903360 in words is "one hundred fourteen million, nine hundred three thousand, three hundred sixty".