114064000 has 64 divisors (see below), whose sum is σ = 283631400. Its totient is φ = 45619200.

The previous prime is 114063997. The next prime is 114064037. The reversal of 114064000 is 460411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40653376 + 73410624 = 6376^2 + 8568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12436 + ... + 19564.

Almost surely, 2^114064000 is an apocalyptic number.

114064000 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 114064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141815700).

114064000 is an abundant number, since it is smaller than the sum of its proper divisors (169567400).

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

114064000 is an frugal number, since it uses more digits than its factorization.

114064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7158 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 114064000 is about 10680.0749061044. The cubic root of 114064000 is about 484.9714795288.

The spelling of 114064000 in words is "one hundred fourteen million, sixty-four thousand".