240784128 has 108 divisors (see below), whose sum is σ = 747736080. Its totient is φ = 74078208.

The previous prime is 240784109. The next prime is 240784151. The reversal of 240784128 is 821487042.

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 = 240784092 and 240784101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25933 + ... + 33971.

Almost surely, 2^240784128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240784128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373868040).

240784128 is an abundant number, since it is smaller than the sum of its proper divisors (506951952).

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

240784128 is a wasteful number, since it uses less digits than its factorization.

240784128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8074 (or 8057 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 240784128 is about 15517.2203696409. The cubic root of 240784128 is about 622.1225621186.

The spelling of 240784128 in words is "two hundred forty million, seven hundred eighty-four thousand, one hundred twenty-eight".