1059201360 has 400 divisors, whose sum is σ = 4429180800. Its totient is φ = 229174272.

The previous prime is 1059201347. The next prime is 1059201361. The reversal of 1059201360 is 631029501.

1059201360 is a `hidden beast` number, since 1 + 0 + 592 + 0 + 13 + 60 = 666.

It is a super-2 number, since 2×1059201360² = 2243815042051699200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059201361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 861226 + ... + 862454.

It is an arithmetic number, because the mean of its divisors is an integer number (11072952).

Almost surely, 2^1059201360 is an apocalyptic number.

1059201360 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 1059201360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214590400).

1059201360 is an abundant number, since it is smaller than the sum of its proper divisors (3369979440).

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

1059201360 is a wasteful number, since it uses less digits than its factorization.

1059201360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1059201360 is about 32545.3738648060. The cubic root of 1059201360 is about 1019.3566877750.

The spelling of 1059201360 in words is "one billion, fifty-nine million, two hundred one thousand, three hundred sixty".