114240264 has 64 divisors (see below), whose sum is σ = 299376000. Its totient is φ = 36258816.

The previous prime is 114240257. The next prime is 114240271. The reversal of 114240264 is 462042411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114240257) and next prime (114240271).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192352 + ... + 192944.

It is an arithmetic number, because the mean of its divisors is an integer number (4677750).

Almost surely, 2^114240264 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 114240264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149688000).

114240264 is an abundant number, since it is smaller than the sum of its proper divisors (185135736).

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

114240264 is a wasteful number, since it uses less digits than its factorization.

114240264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 114240264 is about 10688.3237226424. The cubic root of 114240264 is about 485.2211610471.

Adding to 114240264 its reverse (462042411), we get a palindrome (576282675).

The spelling of 114240264 in words is "one hundred fourteen million, two hundred forty thousand, two hundred sixty-four".