1618379840 has 252 divisors, whose sum is σ = 4933320588. Its totient is φ = 503838720.

The previous prime is 1618379813. The next prime is 1618379849. The reversal of 1618379840 is 489738161.

It can be written as a sum of positive squares in 2 ways, for example, as 297493504 + 1320886336 = 17248^2 + 36344^2 .

It is not an unprimeable number, because it can be changed into a prime (1618379849) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1896854 + ... + 1897706.

It is an arithmetic number, because the mean of its divisors is an integer number (19576669).

Almost surely, 2^1618379840 is an apocalyptic number.

1618379840 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 1618379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466660294).

1618379840 is an abundant number, since it is smaller than the sum of its proper divisors (3314940748).

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

1618379840 is a wasteful number, since it uses less digits than its factorization.

1618379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 1618379840 is about 40229.0919609180. The cubic root of 1618379840 is about 1174.0686363272.

The spelling of 1618379840 in words is "one billion, six hundred eighteen million, three hundred seventy-nine thousand, eight hundred forty".