114584064 has 80 divisors (see below), whose sum is σ = 348900288. Its totient is φ = 32735232.

The previous prime is 114584059. The next prime is 114584069. The reversal of 114584064 is 460485411.

It is an interprime number because it is at equal distance from previous prime (114584059) and next prime (114584069).

It is not an unprimeable number, because it can be changed into a prime (114584069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5424 + ... + 16080.

Almost surely, 2^114584064 is an apocalyptic number.

114584064 is a gapful number since it is divisible by the number (14) 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 114584064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174450144).

114584064 is an abundant number, since it is smaller than the sum of its proper divisors (234316224).

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

114584064 is an equidigital number, since it uses as much as digits as its factorization.

114584064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10669 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 114584064 is about 10704.3946115602. The cubic root of 114584064 is about 485.7074226745.

The spelling of 114584064 in words is "one hundred fourteen million, five hundred eighty-four thousand, sixty-four".