114025680 has 240 divisors, whose sum is σ = 408545280. Its totient is φ = 28449792.

The previous prime is 114025679. The next prime is 114025699. The reversal of 114025680 is 86520411.

It is a tau number, because it is divible by the number of its divisors (240).

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, 897777 + ... + 897903.

It is an arithmetic number, because the mean of its divisors is an integer number (1702272).

Almost surely, 2^114025680 is an apocalyptic number.

114025680 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 114025680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204272640).

114025680 is an abundant number, since it is smaller than the sum of its proper divisors (294519600).

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

114025680 is a wasteful number, since it uses less digits than its factorization.

114025680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 114025680 is about 10678.2807604970. The cubic root of 114025680 is about 484.9171644408.

The spelling of 114025680 in words is "one hundred fourteen million, twenty-five thousand, six hundred eighty".