821748560 has 20 divisors (see below), whose sum is σ = 1910565588. Its totient is φ = 328699392.

The previous prime is 821748541. The next prime is 821748563. The reversal of 821748560 is 65847128.

821748560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 640899856 + 180848704 = 25316^2 + 13448^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821748563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5135849 + ... + 5136008.

Almost surely, 2^821748560 is an apocalyptic number.

821748560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

821748560 is an abundant number, since it is smaller than the sum of its proper divisors (1088817028).

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

821748560 is a wasteful number, since it uses less digits than its factorization.

821748560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10271870 (or 10271864 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 821748560 is about 28666.1570497338. The cubic root of 821748560 is about 936.6549887448.

The spelling of 821748560 in words is "eight hundred twenty-one million, seven hundred forty-eight thousand, five hundred sixty".