1206563600 has 180 divisors, whose sum is σ = 3231623892. Its totient is φ = 432537600.

The previous prime is 1206563597. The next prime is 1206563681. The reversal of 1206563600 is 63656021.

It can be written as a sum of positive squares in 6 ways, for example, as 31719424 + 1174844176 = 5632^2 + 34276^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4694672 + ... + 4694928.

Almost surely, 2^1206563600 is an apocalyptic number.

1206563600 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 1206563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615811946).

1206563600 is an abundant number, since it is smaller than the sum of its proper divisors (2025060292).

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

1206563600 is a wasteful number, since it uses less digits than its factorization.

1206563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 1206563600 is about 34735.6243646203. The cubic root of 1206563600 is about 1064.5925101705.

The spelling of 1206563600 in words is "one billion, two hundred six million, five hundred sixty-three thousand, six hundred".