1006776 has 64 divisors (see below), whose sum is σ = 2880000. Its totient is φ = 325728.

The previous prime is 1006769. The next prime is 1006781. The reversal of 1006776 is 6776001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12705 + ... + 12783.

It is an arithmetic number, because the mean of its divisors is an integer number (45000).

2^1006776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440000).

1006776 is an abundant number, since it is smaller than the sum of its proper divisors (1873224).

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

1006776 is a wasteful number, since it uses less digits than its factorization.

1006776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 1006776 is about 1003.3822800907. The cubic root of 1006776 is about 100.2253584210.

The spelling of 1006776 in words is "one million, six thousand, seven hundred seventy-six".