21146160 has 160 divisors (see below), whose sum is σ = 76995072. Its totient is φ = 4700160.

The previous prime is 21146137. The next prime is 21146161. The reversal of 21146160 is 6164112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (21146161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68727 + ... + 69033.

Almost surely, 2^21146160 is an apocalyptic number.

21146160 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 21146160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38497536).

21146160 is an abundant number, since it is smaller than the sum of its proper divisors (55848912).

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

21146160 is a wasteful number, since it uses less digits than its factorization.

21146160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 21146160 is about 4598.4954061084. The cubic root of 21146160 is about 276.5310087990.

The spelling of 21146160 in words is "twenty-one million, one hundred forty-six thousand, one hundred sixty".