618968240 has 80 divisors (see below), whose sum is σ = 1583175456. Its totient is φ = 225040640.

The previous prime is 618968221. The next prime is 618968297. The reversal of 618968240 is 42869816.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 618968191 and 618968200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103574 + ... + 109386.

Almost surely, 2^618968240 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 618968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791587728).

618968240 is an abundant number, since it is smaller than the sum of its proper divisors (964207216).

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

618968240 is a wasteful number, since it uses less digits than its factorization.

618968240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 618968240 is about 24879.0723299724. The cubic root of 618968240 is about 852.2286337116.

The spelling of 618968240 in words is "six hundred eighteen million, nine hundred sixty-eight thousand, two hundred forty".