1599344640 has 156 divisors (see below), whose sum is σ = 5544356844. Its totient is φ = 426442752.

The previous prime is 1599344639. The next prime is 1599344657. The reversal of 1599344640 is 464439951.

1599344640 is a `hidden beast` number, since 159 + 9 + 34 + 464 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 496041984 + 1103302656 = 22272^2 + 33216^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179982 + ... + 188658.

It is an arithmetic number, because the mean of its divisors is an integer number (35540749).

Almost surely, 2^1599344640 is an apocalyptic number.

1599344640 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 1599344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772178422).

1599344640 is an abundant number, since it is smaller than the sum of its proper divisors (3945012204).

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

1599344640 is an equidigital number, since it uses as much as digits as its factorization.

1599344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8712 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1599344640 is about 39991.8071609674. The cubic root of 1599344640 is about 1169.4473831217.

The spelling of 1599344640 in words is "one billion, five hundred ninety-nine million, three hundred forty-four thousand, six hundred forty".