1052766 has 48 divisors (see below), whose sum is σ = 2686320. Its totient is φ = 293760.

The previous prime is 1052747. The next prime is 1052767. The reversal of 1052766 is 6672501.

It is a super-2 number, since 2×1052766² = 2216632501512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052767) 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 23 ways as a sum of consecutive naturals, for example, 2370 + ... + 2778.

It is an arithmetic number, because the mean of its divisors is an integer number (55965).

2^1052766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343160).

1052766 is an abundant number, since it is smaller than the sum of its proper divisors (1633554).

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

1052766 is a wasteful number, since it uses less digits than its factorization.

1052766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1052766 is about 1026.0438587117. The cubic root of 1052766 is about 101.7288067067.

The spelling of 1052766 in words is "one million, fifty-two thousand, seven hundred sixty-six".