114943920 has 320 divisors, whose sum is σ = 463303680. Its totient is φ = 22892544.

The previous prime is 114943897. The next prime is 114943931. The reversal of 114943920 is 29349411.

It is a super-3 number, since 3×114943920³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414822 + ... + 415098.

It is an arithmetic number, because the mean of its divisors is an integer number (1447824).

Almost surely, 2^114943920 is an apocalyptic number.

114943920 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 114943920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231651840).

114943920 is an abundant number, since it is smaller than the sum of its proper divisors (348359760).

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

114943920 is a wasteful number, since it uses less digits than its factorization.

114943920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 114943920 is about 10721.1902324322. The cubic root of 114943920 is about 486.2153527475.

The spelling of 114943920 in words is "one hundred fourteen million, nine hundred forty-three thousand, nine hundred twenty".