618012240 has 160 divisors (see below), whose sum is σ = 2027786880. Its totient is φ = 155271168.

The previous prime is 618012223. The next prime is 618012293. The reversal of 618012240 is 42210816.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 618012240.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1427064 + ... + 1427496.

It is an arithmetic number, because the mean of its divisors is an integer number (12673668).

Almost surely, 2^618012240 is an apocalyptic number.

618012240 is a gapful number since it is divisible by the number (60) 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 618012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013893440).

618012240 is an abundant number, since it is smaller than the sum of its proper divisors (1409774640).

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

618012240 is a wasteful number, since it uses less digits than its factorization.

618012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 618012240 is about 24859.8519705971. The cubic root of 618012240 is about 851.7896502908.

The spelling of 618012240 in words is "six hundred eighteen million, twelve thousand, two hundred forty".