114163840 has 128 divisors (see below), whose sum is σ = 330480000. Its totient is φ = 36814848.

The previous prime is 114163817. The next prime is 114163843. The reversal of 114163840 is 48361411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×114163840³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 114163799 and 114163808.

It is not an unprimeable number, because it can be changed into a prime (114163843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75411 + ... + 76909.

It is an arithmetic number, because the mean of its divisors is an integer number (2581875).

Almost surely, 2^114163840 is an apocalyptic number.

114163840 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 114163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165240000).

114163840 is an abundant number, since it is smaller than the sum of its proper divisors (216316160).

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

114163840 is a wasteful number, since it uses less digits than its factorization.

114163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 114163840 is about 10684.7480082592. The cubic root of 114163840 is about 485.1129364659.

The spelling of 114163840 in words is "one hundred fourteen million, one hundred sixty-three thousand, eight hundred forty".