114058560 has 224 divisors, whose sum is σ = 451786752. Its totient is φ = 23685120.

The previous prime is 114058543. The next prime is 114058601. The reversal of 114058560 is 65850411.

114058560 = T₂₀₀₉ + T₂₀₁₀ + ... + T₂₀₆₃.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 73149 + ... + 74691.

Almost surely, 2^114058560 is an apocalyptic number.

114058560 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 114058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225893376).

114058560 is an abundant number, since it is smaller than the sum of its proper divisors (337728192).

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

114058560 is a wasteful number, since it uses less digits than its factorization.

114058560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 114058560 is about 10679.8202232060. The cubic root of 114058560 is about 484.9637695684.

The spelling of 114058560 in words is "one hundred fourteen million, fifty-eight thousand, five hundred sixty".