21195360 has 144 divisors (see below), whose sum is σ = 74299680. Its totient is φ = 5498880.

The previous prime is 21195341. The next prime is 21195367. The reversal of 21195360 is 6359112.

21195360 is a `hidden beast` number, since 211 + 95 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21195367) 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, 58861 + ... + 59219.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^21195360 is an apocalyptic number.

21195360 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 21195360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840).

21195360 is an abundant number, since it is smaller than the sum of its proper divisors (53104320).

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

21195360 is a wasteful number, since it uses less digits than its factorization.

21195360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 21195360 is about 4603.8418739136. The cubic root of 21195360 is about 276.7453075587.

The spelling of 21195360 in words is "twenty-one million, one hundred ninety-five thousand, three hundred sixty".