21426800 has 120 divisors (see below), whose sum is σ = 57290976. Its totient is φ = 7659520.

The previous prime is 21426793. The next prime is 21426803. The reversal of 21426800 is 862412.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21426803) 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, 156332 + ... + 156468.

Almost surely, 2^21426800 is an apocalyptic number.

21426800 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 21426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28645488).

21426800 is an abundant number, since it is smaller than the sum of its proper divisors (35864176).

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

21426800 is a wasteful number, since it uses less digits than its factorization.

21426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 21426800 is about 4628.9091587544. The cubic root of 21426800 is about 277.7489581952.

The spelling of 21426800 in words is "twenty-one million, four hundred twenty-six thousand, eight hundred".