114048640 has 128 divisors (see below), whose sum is σ = 293025600. Its totient is φ = 42319872.

The previous prime is 114048637. The next prime is 114048647. The reversal of 114048640 is 46840411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114048599 and 114048608.

It is not an unprimeable number, because it can be changed into a prime (114048647) 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, 1009224 + ... + 1009336.

Almost surely, 2^114048640 is an apocalyptic number.

114048640 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 114048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146512800).

114048640 is an abundant number, since it is smaller than the sum of its proper divisors (178976960).

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

114048640 is a wasteful number, since it uses less digits than its factorization.

114048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 114048640 is about 10679.3557858140. The cubic root of 114048640 is about 484.9497095975.

The spelling of 114048640 in words is "one hundred fourteen million, forty-eight thousand, six hundred forty".