21867400 has 48 divisors (see below), whose sum is σ = 52496640. Its totient is φ = 8462400.

The previous prime is 21867383. The next prime is 21867401. The reversal of 21867400 is 476812.

It is a hoax number, since the sum of its digits (28) 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 (21867401) 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, 4437 + ... + 7963.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^21867400 is an apocalyptic number.

21867400 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 21867400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320).

21867400 is an abundant number, since it is smaller than the sum of its proper divisors (30629240).

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

21867400 is a wasteful number, since it uses less digits than its factorization.

21867400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 21867400 is about 4676.2591887106. The cubic root of 21867400 is about 279.6398430603.

The spelling of 21867400 in words is "twenty-one million, eight hundred sixty-seven thousand, four hundred".