21314920 has 64 divisors (see below), whose sum is σ = 52799040. Its totient is φ = 7680000.

The previous prime is 21314893. The next prime is 21314927. The reversal of 21314920 is 2941312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21314891 and 21314900.

It is not an unprimeable number, because it can be changed into a prime (21314927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84795 + ... + 85045.

It is an arithmetic number, because the mean of its divisors is an integer number (824985).

Almost surely, 2^21314920 is an apocalyptic number.

21314920 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 21314920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26399520).

21314920 is an abundant number, since it is smaller than the sum of its proper divisors (31484120).

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

21314920 is a wasteful number, since it uses less digits than its factorization.

21314920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 21314920 is about 4616.8084214098. The cubic root of 21314920 is about 277.2646924451.

The spelling of 21314920 in words is "twenty-one million, three hundred fourteen thousand, nine hundred twenty".