918378240 has 144 divisors (see below), whose sum is σ = 3158863008. Its totient is φ = 226050048.

The previous prime is 918378211. The next prime is 918378259. The reversal of 918378240 is 42873819.

918378240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 918378192 and 918378201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40722 + ... + 59118.

Almost surely, 2^918378240 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 918378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579431504).

918378240 is an abundant number, since it is smaller than the sum of its proper divisors (2240484768).

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

918378240 is a wasteful number, since it uses less digits than its factorization.

918378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18434 (or 18420 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 918378240 is about 30304.7560623741. The cubic root of 918378240 is about 972.0170025307.

The spelling of 918378240 in words is "nine hundred eighteen million, three hundred seventy-eight thousand, two hundred forty".