21949920 has 96 divisors (see below), whose sum is σ = 76839840. Its totient is φ = 5852160.

The previous prime is 21949877. The next prime is 21949927. The reversal of 21949920 is 2994912.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21949927) 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, 1780 + ... + 6860.

It is an arithmetic number, because the mean of its divisors is an integer number (800415).

Almost surely, 2^21949920 is an apocalyptic number.

21949920 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 21949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38419920).

21949920 is an abundant number, since it is smaller than the sum of its proper divisors (54889920).

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

21949920 is a wasteful number, since it uses less digits than its factorization.

21949920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 21949920 is about 4685.0741723051. The cubic root of 21949920 is about 279.9911561833.

The spelling of 21949920 in words is "twenty-one million, nine hundred forty-nine thousand, nine hundred twenty".