21961416 has 64 divisors (see below), whose sum is σ = 61214400. Its totient is φ = 6524928.

The previous prime is 21961369. The next prime is 21961417. The reversal of 21961416 is 61416912.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21961417) 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, 6336 + ... + 9168.

It is an arithmetic number, because the mean of its divisors is an integer number (956475).

Almost surely, 2^21961416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21961416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30607200).

21961416 is an abundant number, since it is smaller than the sum of its proper divisors (39252984).

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

21961416 is a wasteful number, since it uses less digits than its factorization.

21961416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2874 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 21961416 is about 4686.3008866269. The cubic root of 21961416 is about 280.0400282910.

The spelling of 21961416 in words is "twenty-one million, nine hundred sixty-one thousand, four hundred sixteen".