114214560 has 192 divisors, whose sum is σ = 379209600. Its totient is φ = 28864512.

The previous prime is 114214553. The next prime is 114214591. The reversal of 114214560 is 65412411.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114214560.

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 31 ways as a sum of consecutive naturals, for example, 1047786 + ... + 1047894.

It is an arithmetic number, because the mean of its divisors is an integer number (1975050).

Almost surely, 2^114214560 is an apocalyptic number.

114214560 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 114214560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189604800).

114214560 is an abundant number, since it is smaller than the sum of its proper divisors (264995040).

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

114214560 is a wasteful number, since it uses less digits than its factorization.

114214560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 114214560 is about 10687.1212213580. The cubic root of 114214560 is about 485.1847668144.

Adding to 114214560 its reverse (65412411), we get a palindrome (179626971).

The spelling of 114214560 in words is "one hundred fourteen million, two hundred fourteen thousand, five hundred sixty".