114046320 has 120 divisors (see below), whose sum is σ = 363365136. Its totient is φ = 29589504.

The previous prime is 114046279. The next prime is 114046337. The reversal of 114046320 is 23640411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443632 + ... + 443888.

Almost surely, 2^114046320 is an apocalyptic number.

114046320 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 114046320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181682568).

114046320 is an abundant number, since it is smaller than the sum of its proper divisors (249318816).

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

114046320 is a wasteful number, since it uses less digits than its factorization.

114046320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 114046320 is about 10679.2471644775. The cubic root of 114046320 is about 484.9464212609.

Adding to 114046320 its reverse (23640411), we get a palindrome (137686731).

The spelling of 114046320 in words is "one hundred fourteen million, forty-six thousand, three hundred twenty".