10764564 has 48 divisors (see below), whose sum is σ = 27310080. Its totient is φ = 3287520.

The previous prime is 10764557. The next prime is 10764571. The reversal of 10764564 is 46546701.

It is an interprime number because it is at equal distance from previous prime (10764557) and next prime (10764571).

It is a super-2 number, since 2×10764564² = 231751676220192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6307 + ... + 7829.

It is an arithmetic number, because the mean of its divisors is an integer number (568960).

Almost surely, 2^10764564 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 10764564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655040).

10764564 is an abundant number, since it is smaller than the sum of its proper divisors (16545516).

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

10764564 is a wasteful number, since it uses less digits than its factorization.

10764564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 10764564 is about 3280.9394995946. The cubic root of 10764564 is about 220.7998706941.

The spelling of 10764564 in words is "ten million, seven hundred sixty-four thousand, five hundred sixty-four".