114089920 has 168 divisors, whose sum is σ = 326879712. Its totient is φ = 37140480.

The previous prime is 114089917. The next prime is 114089923. The reversal of 114089920 is 29980411.

It is an interprime number because it is at equal distance from previous prime (114089917) and next prime (114089923).

It is a super-3 number, since 3×114089920³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114089923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2152614 + ... + 2152666.

Almost surely, 2^114089920 is an apocalyptic number.

114089920 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 114089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163439856).

114089920 is an abundant number, since it is smaller than the sum of its proper divisors (212789792).

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

114089920 is an equidigital number, since it uses as much as digits as its factorization.

114089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 114089920 is about 10681.2883118096. The cubic root of 114089920 is about 485.0082118566.

The spelling of 114089920 in words is "one hundred fourteen million, eighty-nine thousand, nine hundred twenty".