21086160 has 80 divisors (see below), whose sum is σ = 66079104. Its totient is φ = 5561856.

The previous prime is 21086141. The next prime is 21086179. The reversal of 21086160 is 6168012.

It is an interprime number because it is at equal distance from previous prime (21086141) and next prime (21086179).

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

It is a super-2 number, since 2×21086160² = 889252287091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21086160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24294 + ... + 25146.

Almost surely, 2^21086160 is an apocalyptic number.

21086160 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 21086160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33039552).

21086160 is an abundant number, since it is smaller than the sum of its proper divisors (44992944).

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

21086160 is a wasteful number, since it uses less digits than its factorization.

21086160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 21086160 is about 4591.9668988354. The cubic root of 21086160 is about 276.2692185124.

The spelling of 21086160 in words is "twenty-one million, eighty-six thousand, one hundred sixty".