114784320 has 448 divisors, whose sum is σ = 468172800. Its totient is φ = 23224320.

The previous prime is 114784261. The next prime is 114784343. The reversal of 114784320 is 23487411.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 3702705 + ... + 3702735.

Almost surely, 2^114784320 is an apocalyptic number.

114784320 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 114784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234086400).

114784320 is an abundant number, since it is smaller than the sum of its proper divisors (353388480).

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

114784320 is a wasteful number, since it uses less digits than its factorization.

114784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 114784320 is about 10713.7444434707. The cubic root of 114784320 is about 485.9902113221.

The spelling of 114784320 in words is "one hundred fourteen million, seven hundred eighty-four thousand, three hundred twenty".