114207264 has 72 divisors (see below), whose sum is σ = 325821132. Its totient is φ = 37946880.

The previous prime is 114207251. The next prime is 114207293. The reversal of 114207264 is 462702411.

It can be written as a sum of positive squares in 2 ways, for example, as 106254864 + 7952400 = 10308^2 + 2820^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155442 + ... + 156174.

Almost surely, 2^114207264 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 114207264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162910566).

114207264 is an abundant number, since it is smaller than the sum of its proper divisors (211613868).

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

114207264 is a wasteful number, since it uses less digits than its factorization.

114207264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 114207264 is about 10686.7798704755. The cubic root of 114207264 is about 485.1744354304.

Adding to 114207264 its reverse (462702411), we get a palindrome (576909675).

The spelling of 114207264 in words is "one hundred fourteen million, two hundred seven thousand, two hundred sixty-four".