21461160 has 128 divisors (see below), whose sum is σ = 76204800. Its totient is φ = 4730880.

The previous prime is 21461137. The next prime is 21461173. The reversal of 21461160 is 6116412.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23920 + ... + 24800.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 2^21461160 is an apocalyptic number.

21461160 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 21461160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

21461160 is an abundant number, since it is smaller than the sum of its proper divisors (54743640).

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

21461160 is a wasteful number, since it uses less digits than its factorization.

21461160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 927 counting only the distinct ones).

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

The square root of 21461160 is about 4632.6191296069. The cubic root of 21461160 is about 277.8973449111.

Adding to 21461160 its reverse (6116412), we get a palindrome (27577572).

The spelling of 21461160 in words is "twenty-one million, four hundred sixty-one thousand, one hundred sixty".