114024064 has 128 divisors (see below), whose sum is σ = 296110080. Its totient is φ = 42408960.

The previous prime is 114024037. The next prime is 114024077. The reversal of 114024064 is 460420411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226437 + ... + 226939.

It is an arithmetic number, because the mean of its divisors is an integer number (2313360).

Almost surely, 2^114024064 is an apocalyptic number.

114024064 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 114024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

114024064 is an abundant number, since it is smaller than the sum of its proper divisors (182086016).

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

114024064 is a wasteful number, since it uses less digits than its factorization.

114024064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 114024064 is about 10678.2050926174. The cubic root of 114024064 is about 484.9148736415.

Adding to 114024064 its reverse (460420411), we get a palindrome (574444475).

The spelling of 114024064 in words is "one hundred fourteen million, twenty-four thousand, sixty-four".