1059840800 has 54 divisors (see below), whose sum is σ = 2589586209. Its totient is φ = 423568000.

The previous prime is 1059840797. The next prime is 1059840811. The reversal of 1059840800 is 80489501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1038643984 + 21196816 = 32228^2 + 4604^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=23020.

It is a super-2 number, since 2×1059840800² = 2246525042689280000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 920225 + ... + 921375.

Almost surely, 2^1059840800 is an apocalyptic number.

1059840800 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 1059840800

1059840800 is an abundant number, since it is smaller than the sum of its proper divisors (1529745409).

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

1059840800 is an frugal number, since it uses more digits than its factorization.

1059840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 1059840800 is about 32555.1962058286. The cubic root of 1059840800 is about 1019.5617750988.

The spelling of 1059840800 in words is "one billion, fifty-nine million, eight hundred forty thousand, eight hundred".