114284064 has 96 divisors (see below), whose sum is σ = 320060160. Its totient is φ = 35581952.

The previous prime is 114284063. The next prime is 114284089. The reversal of 114284064 is 460482411.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (114284063) 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, 389902 + ... + 390194.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 2^114284064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114284064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

114284064 is an abundant number, since it is smaller than the sum of its proper divisors (205776096).

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

114284064 is a wasteful number, since it uses less digits than its factorization.

114284064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 114284064 is about 10690.3724911717. The cubic root of 114284064 is about 485.2831647884.

The spelling of 114284064 in words is "one hundred fourteen million, two hundred eighty-four thousand, sixty-four".