1599361920 has 576 divisors, whose sum is σ = 6289695360. Its totient is φ = 373800960.

The previous prime is 1599361913. The next prime is 1599361961. The reversal of 1599361920 is 291639951.

It is a happy number.

1599361920 is a `hidden beast` number, since 1 + 5 + 9 + 9 + 3 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1599361920² = 5115917102292172800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30176614 + ... + 30176666.

It is an arithmetic number, because the mean of its divisors is an integer number (10919610).

Almost surely, 2^1599361920 is an apocalyptic number.

1599361920 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 1599361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144847680).

1599361920 is an abundant number, since it is smaller than the sum of its proper divisors (4690333440).

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

1599361920 is a wasteful number, since it uses less digits than its factorization.

1599361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 1599361920 is about 39992.0232046342. The cubic root of 1599361920 is about 1169.4515948423.

The spelling of 1599361920 in words is "one billion, five hundred ninety-nine million, three hundred sixty-one thousand, nine hundred twenty".