21532600 has 96 divisors (see below), whose sum is σ = 54282240. Its totient is φ = 7920000.

The previous prime is 21532597. The next prime is 21532603. The reversal of 21532600 is 623512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21532597) and next prime (21532603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21532603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142525 + ... + 142675.

It is an arithmetic number, because the mean of its divisors is an integer number (565440).

Almost surely, 2^21532600 is an apocalyptic number.

21532600 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 21532600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141120).

21532600 is an abundant number, since it is smaller than the sum of its proper divisors (32749640).

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

21532600 is a wasteful number, since it uses less digits than its factorization.

21532600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 21532600 is about 4640.3232646013. The cubic root of 21532600 is about 278.2053586760.

It can be divided in two parts, 2153 and 2600, that added together give a triangular number (4753 = T₉₇).

The spelling of 21532600 in words is "twenty-one million, five hundred thirty-two thousand, six hundred".