114401560 has 128 divisors (see below), whose sum is σ = 323326080. Its totient is φ = 35463168.

The previous prime is 114401537. The next prime is 114401591. The reversal of 114401560 is 65104411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192624 + ... + 193216.

It is an arithmetic number, because the mean of its divisors is an integer number (2525985).

Almost surely, 2^114401560 is an apocalyptic number.

114401560 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 114401560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161663040).

114401560 is an abundant number, since it is smaller than the sum of its proper divisors (208924520).

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

114401560 is a wasteful number, since it uses less digits than its factorization.

114401560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 114401560 is about 10695.8664913134. The cubic root of 114401560 is about 485.4494151516.

Adding to 114401560 its reverse (65104411), we get a palindrome (179505971).

The spelling of 114401560 in words is "one hundred fourteen million, four hundred one thousand, five hundred sixty".