1005536 has 36 divisors (see below), whose sum is σ = 2296728. Its totient is φ = 424512.

The previous prime is 1005527. The next prime is 1005541. The reversal of 1005536 is 6355001.

It is a super-2 number, since 2×1005536² = 2022205294592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14975 + ... + 15041.

It is an arithmetic number, because the mean of its divisors is an integer number (63798).

2^1005536 is an apocalyptic number.

1005536 is a gapful number since it is divisible by the number (16) 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 1005536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148364).

1005536 is an abundant number, since it is smaller than the sum of its proper divisors (1291192).

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

1005536 is an frugal number, since it uses more digits than its factorization.

1005536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 1005536 is about 1002.7641796554. The cubic root of 1005536 is about 100.1841938513.

The spelling of 1005536 in words is "one million, five thousand, five hundred thirty-six".