21148160 has 80 divisors (see below), whose sum is σ = 55389312. Its totient is φ = 7680000.

The previous prime is 21148157. The next prime is 21148177. The reversal of 21148160 is 6184112.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27785 + ... + 28535.

Almost surely, 2^21148160 is an apocalyptic number.

21148160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21148160 is the 3755-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27694656).

21148160 is an abundant number, since it is smaller than the sum of its proper divisors (34241152).

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

21148160 is an equidigital number, since it uses as much as digits as its factorization.

21148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 21148160 is about 4598.7128633999. The cubic root of 21148160 is about 276.5397266085.

The spelling of 21148160 in words is "twenty-one million, one hundred forty-eight thousand, one hundred sixty".