21162960 has 480 divisors, whose sum is σ = 97493760. Its totient is φ = 3981312.

The previous prime is 21162959. The next prime is 21162989. The reversal of 21162960 is 6926112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1113831 + ... + 1113849.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 2^21162960 is an apocalyptic number.

21162960 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 21162960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

21162960 is an abundant number, since it is smaller than the sum of its proper divisors (76330800).

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

21162960 is a wasteful number, since it uses less digits than its factorization.

21162960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 21162960 is about 4600.3217278795. The cubic root of 21162960 is about 276.6042213223.

It can be divided in two parts, 21162 and 960, that added together give a palindrome (22122).

The spelling of 21162960 in words is "twenty-one million, one hundred sixty-two thousand, nine hundred sixty".