114579840 has 128 divisors (see below), whose sum is σ = 370137600. Its totient is φ = 30144512.

The previous prime is 114579833. The next prime is 114579863. The reversal of 114579840 is 48975411.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 159001 + ... + 159719.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2^114579840 is an apocalyptic number.

114579840 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 114579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

114579840 is an abundant number, since it is smaller than the sum of its proper divisors (255557760).

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

114579840 is an equidigital number, since it uses as much as digits as its factorization.

114579840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 114579840 is about 10704.1973075985. The cubic root of 114579840 is about 485.7014542664.

It can be divided in two parts, 11 and 4579840, that added together give a triangular number (4579851 = T₃₀₂₆).

The spelling of 114579840 in words is "one hundred fourteen million, five hundred seventy-nine thousand, eight hundred forty".