1001005600 has 144 divisors (see below), whose sum is σ = 2858442048. Its totient is φ = 335139840.

The previous prime is 1001005589. The next prime is 1001005619. The reversal of 1001005600 is 65001001.

It is a super-2 number, since 2×1001005600² = 2004024422462720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238722 + ... + 242878.

It is an arithmetic number, because the mean of its divisors is an integer number (19850292).

Almost surely, 2^1001005600 is an apocalyptic number.

1001005600 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 1001005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429221024).

1001005600 is an abundant number, since it is smaller than the sum of its proper divisors (1857436448).

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

1001005600 is a wasteful number, since it uses less digits than its factorization.

1001005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1001005600 is about 31638.6725385247. The cubic root of 1001005600 is about 1000.3350877037.

Adding to 1001005600 its reverse (65001001), we get a palindrome (1066006601).

The spelling of 1001005600 in words is "one billion, one million, five thousand, six hundred".