10721564 has 48 divisors (see below), whose sum is σ = 22471680. Its totient is φ = 4380480.

The previous prime is 10721549. The next prime is 10721569. The reversal of 10721564 is 46512701.

It is a super-2 number, since 2×10721564² = 229903869212192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10721569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81779 + ... + 81909.

It is an arithmetic number, because the mean of its divisors is an integer number (468160).

Almost surely, 2^10721564 is an apocalyptic number.

10721564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10721564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11235840).

10721564 is an abundant number, since it is smaller than the sum of its proper divisors (11750116).

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

10721564 is a wasteful number, since it uses less digits than its factorization.

10721564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 10721564 is about 3274.3799413019. The cubic root of 10721564 is about 220.5054768343.

The spelling of 10721564 in words is "ten million, seven hundred twenty-one thousand, five hundred sixty-four".