1056006 has 72 divisors (see below), whose sum is σ = 2873520. Its totient is φ = 274176.

The previous prime is 1055981. The next prime is 1056007. The reversal of 1056006 is 6006501.

It is a super-2 number, since 2×1056006² = 2230297344072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1056006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36400 + ... + 36428.

It is an arithmetic number, because the mean of its divisors is an integer number (39910).

2^1056006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436760).

1056006 is an abundant number, since it is smaller than the sum of its proper divisors (1817514).

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

1056006 is a wasteful number, since it uses less digits than its factorization.

1056006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1056006 is about 1027.6215256601. The cubic root of 1056006 is about 101.8330602581.

The spelling of 1056006 in words is "one million, fifty-six thousand, six".