21536800 has 36 divisors (see below), whose sum is σ = 52578666. Its totient is φ = 8614400.

The previous prime is 21536797. The next prime is 21536803. The reversal of 21536800 is 863512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21536797) and next prime (21536803).

It can be written as a sum of positive squares in 3 ways, for example, as 20903184 + 633616 = 4572^2 + 796^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (21536803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12661 + ... + 14260.

Almost surely, 2^21536800 is an apocalyptic number.

21536800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21536800 is an abundant number, since it is smaller than the sum of its proper divisors (31041866).

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

21536800 is a wasteful number, since it uses less digits than its factorization.

21536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26941 (or 26928 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 21536800 is about 4640.7757972132. The cubic root of 21536800 is about 278.2234457709.

The spelling of 21536800 in words is "twenty-one million, five hundred thirty-six thousand, eight hundred".