114401760 has 192 divisors, whose sum is σ = 402361344. Its totient is φ = 27084800.

The previous prime is 114401689. The next prime is 114401761. The reversal of 114401760 is 67104411.

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 114401760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114401761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247930 + ... + 248390.

It is an arithmetic number, because the mean of its divisors is an integer number (2095632).

Almost surely, 2^114401760 is an apocalyptic number.

114401760 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 114401760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201180672).

114401760 is an abundant number, since it is smaller than the sum of its proper divisors (287959584).

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

114401760 is a wasteful number, since it uses less digits than its factorization.

114401760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 114401760 is about 10695.8758407154. The cubic root of 114401760 is about 485.4496980435.

The spelling of 114401760 in words is "one hundred fourteen million, four hundred one thousand, seven hundred sixty".