21474144 has 72 divisors (see below), whose sum is σ = 61562592. Its totient is φ = 7100160.

The previous prime is 21474143. The next prime is 21474217. The reversal of 21474144 is 44147412.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×21474144² = 922277721065472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21474143) 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, 49609 + ... + 50039.

It is an arithmetic number, because the mean of its divisors is an integer number (855036).

Almost surely, 2^21474144 is an apocalyptic number.

21474144 is a gapful number since it is divisible by the number (24) 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 21474144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30781296).

21474144 is an abundant number, since it is smaller than the sum of its proper divisors (40088448).

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

21474144 is a wasteful number, since it uses less digits than its factorization.

21474144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 609 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 21474144 is about 4634.0202848067. The cubic root of 21474144 is about 277.9533762364.

The spelling of 21474144 in words is "twenty-one million, four hundred seventy-four thousand, one hundred forty-four".