21532800 has 96 divisors (see below), whose sum is σ = 70955280. Its totient is φ = 5739520.

The previous prime is 21532799. The next prime is 21532801. The reversal of 21532800 is 823512.

It is an interprime number because it is at equal distance from previous prime (21532799) and next prime (21532801).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21532800² = 927322951680000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21532801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8479 + ... + 10721.

Almost surely, 2^21532800 is an apocalyptic number.

21532800 is a gapful number since it is divisible by the number (20) 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 21532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35477640).

21532800 is an abundant number, since it is smaller than the sum of its proper divisors (49422480).

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

21532800 is a wasteful number, since it uses less digits than its factorization.

21532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 21532800 is about 4640.3448147740. The cubic root of 21532800 is about 278.2062200195.

The spelling of 21532800 in words is "twenty-one million, five hundred thirty-two thousand, eight hundred".