1006505600 has 96 divisors (see below), whose sum is σ = 2504051040. Its totient is φ = 399744000.

The previous prime is 1006505593. The next prime is 1006505623. The reversal of 1006505600 is 65056001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 482159 + ... + 484241.

It is an arithmetic number, because the mean of its divisors is an integer number (26083865).

Almost surely, 2^1006505600 is an apocalyptic number.

1006505600 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 1006505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252025520).

1006505600 is an abundant number, since it is smaller than the sum of its proper divisors (1497545440).

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

1006505600 is a wasteful number, since it uses less digits than its factorization.

1006505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1006505600 is about 31725.4724157104. The cubic root of 1006505600 is about 1002.1638477192.

The spelling of 1006505600 in words is "one billion, six million, five hundred five thousand, six hundred".