114784000 has 144 divisors (see below), whose sum is σ = 304196256. Its totient is φ = 43008000.

The previous prime is 114783989. The next prime is 114784003. The reversal of 114784000 is 487411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114784003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543895 + ... + 544105.

It is an arithmetic number, because the mean of its divisors is an integer number (2112474).

Almost surely, 2^114784000 is an apocalyptic number.

114784000 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 114784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152098128).

114784000 is an abundant number, since it is smaller than the sum of its proper divisors (189412256).

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

114784000 is an equidigital number, since it uses as much as digits as its factorization.

114784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 114784000 is about 10713.7295093725. The cubic root of 114784000 is about 485.9897597011.

The spelling of 114784000 in words is "one hundred fourteen million, seven hundred eighty-four thousand".