1940008608 has 144 divisors (see below), whose sum is σ = 5665350600. Its totient is φ = 629471232.

The previous prime is 1940008579. The next prime is 1940008619. The reversal of 1940008608 is 8068000491.

It is a happy number.

1940008608 is a `hidden beast` number, since 1 + 9 + 40 + 0 + 0 + 8 + 608 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1004382864 + 935625744 = 31692^2 + 30588^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1940008608² = 7527266798228195328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2273910 + ... + 2274762.

Almost surely, 2^1940008608 is an apocalyptic number.

1940008608 is a gapful number since it is divisible by the number (18) 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 1940008608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832675300).

1940008608 is an abundant number, since it is smaller than the sum of its proper divisors (3725341992).

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

1940008608 is a wasteful number, since it uses less digits than its factorization.

1940008608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1940008608 is about 44045.5288082684. The cubic root of 1940008608 is about 1247.1955491230.

The spelling of 1940008608 in words is "one billion, nine hundred forty million, eight thousand, six hundred eight".