1059879600 has 240 divisors, whose sum is σ = 4063108000. Its totient is φ = 260858880.

The previous prime is 1059879581. The next prime is 1059879607. The reversal of 1059879600 is 69789501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1059879600² = 2246689532992320000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1059879607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136626 + ... + 144174.

Almost surely, 2^1059879600 is an apocalyptic number.

1059879600 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 1059879600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031554000).

1059879600 is an abundant number, since it is smaller than the sum of its proper divisors (3003228400).

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

1059879600 is a wasteful number, since it uses less digits than its factorization.

1059879600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589 (or 7572 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 1059879600 is about 32555.7921113893. The cubic root of 1059879600 is about 1019.5742167518.

Subtracting from 1059879600 its reverse (69789501), we obtain a palindrome (990090099).

The spelling of 1059879600 in words is "one billion, fifty-nine million, eight hundred seventy-nine thousand, six hundred".