114288580 has 72 divisors (see below), whose sum is σ = 281534400. Its totient is φ = 38856384.

The previous prime is 114288521. The next prime is 114288619. The reversal of 114288580 is 85882411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135801 + ... + 136639.

It is an arithmetic number, because the mean of its divisors is an integer number (3910200).

Almost surely, 2^114288580 is an apocalyptic number.

114288580 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 114288580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140767200).

114288580 is an abundant number, since it is smaller than the sum of its proper divisors (167245820).

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

114288580 is a wasteful number, since it uses less digits than its factorization.

114288580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The square root of 114288580 is about 10690.5837071696. The cubic root of 114288580 is about 485.2895567846.

The spelling of 114288580 in words is "one hundred fourteen million, two hundred eighty-eight thousand, five hundred eighty".