114848640 has 192 divisors, whose sum is σ = 402255360. Its totient is φ = 30191616.

The previous prime is 114848627. The next prime is 114848647. The reversal of 114848640 is 46848411.

114848640 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114848595 and 114848604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114848647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731442 + ... + 731598.

It is an arithmetic number, because the mean of its divisors is an integer number (2095080).

Almost surely, 2^114848640 is an apocalyptic number.

114848640 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 114848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201127680).

114848640 is an abundant number, since it is smaller than the sum of its proper divisors (287406720).

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

114848640 is a wasteful number, since it uses less digits than its factorization.

114848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 114848640 is about 10716.7457747210. The cubic root of 114848640 is about 486.0809700991.

The spelling of 114848640 in words is "one hundred fourteen million, eight hundred forty-eight thousand, six hundred forty".