21528960 has 64 divisors (see below), whose sum is σ = 68629680. Its totient is φ = 5740544.

The previous prime is 21528937. The next prime is 21529003. The reversal of 21528960 is 6982512.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×21528960² = 926992237363200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3687 + ... + 7526.

Almost surely, 2^21528960 is an apocalyptic number.

21528960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21528960 is an abundant number, since it is smaller than the sum of its proper divisors (47100720).

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

21528960 is a wasteful number, since it uses less digits than its factorization.

21528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11235 (or 11223 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 21528960 is about 4639.9310339702. The cubic root of 21528960 is about 278.1896812911.

The spelling of 21528960 in words is "twenty-one million, five hundred twenty-eight thousand, nine hundred sixty".