1006764 has 48 divisors (see below), whose sum is σ = 2661120. Its totient is φ = 293440.

The previous prime is 1006751. The next prime is 1006769. The reversal of 1006764 is 4676001.

It is not an unprimeable number, because it can be changed into a prime (1006769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3697 + ... + 3959.

It is an arithmetic number, because the mean of its divisors is an integer number (55440).

2^1006764 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 1006764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330560).

1006764 is an abundant number, since it is smaller than the sum of its proper divisors (1654356).

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

1006764 is a wasteful number, since it uses less digits than its factorization.

1006764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1006764 is about 1003.3763002981. The cubic root of 1006764 is about 100.2249602162.

It can be divided in two parts, 1006 and 764, that added together give a triangular number (1770 = T₅₉).

The spelling of 1006764 in words is "one million, six thousand, seven hundred sixty-four".