1599408720 has 640 divisors, whose sum is σ = 6932889600. Its totient is φ = 329951232.

The previous prime is 1599408697. The next prime is 1599408749. The reversal of 1599408720 is 278049951.

It is a super-2 number, since 2×1599408720² = 5116216507224076800, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15528189 + ... + 15528291.

It is an arithmetic number, because the mean of its divisors is an integer number (10832640).

Almost surely, 2^1599408720 is an apocalyptic number.

1599408720 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 1599408720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466444800).

1599408720 is an abundant number, since it is smaller than the sum of its proper divisors (5333480880).

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

1599408720 is a wasteful number, since it uses less digits than its factorization.

1599408720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1599408720 is about 39992.6083170378. The cubic root of 1599408720 is about 1169.4630014330.

The spelling of 1599408720 in words is "one billion, five hundred ninety-nine million, four hundred eight thousand, seven hundred twenty".