114487920 has 120 divisors (see below), whose sum is σ = 404773200. Its totient is φ = 28919808.

The previous prime is 114487913. The next prime is 114487927. The reversal of 114487920 is 29784411.

It is an interprime number because it is at equal distance from previous prime (114487913) and next prime (114487927).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114487927) 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, 9496 + ... + 17864.

It is an arithmetic number, because the mean of its divisors is an integer number (3373110).

Almost surely, 2^114487920 is an apocalyptic number.

114487920 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 114487920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202386600).

114487920 is an abundant number, since it is smaller than the sum of its proper divisors (290285280).

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

114487920 is a wasteful number, since it uses less digits than its factorization.

114487920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8407 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 114487920 is about 10699.9028032969. The cubic root of 114487920 is about 485.5715372240.

The spelling of 114487920 in words is "one hundred fourteen million, four hundred eighty-seven thousand, nine hundred twenty".