21514560 has 112 divisors (see below), whose sum is σ = 69470016. Its totient is φ = 5640192.

The previous prime is 21514543. The next prime is 21514609. The reversal of 21514560 is 6541512.

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 21514560.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 69927 + ... + 70233.

It is an arithmetic number, because the mean of its divisors is an integer number (620268).

Almost surely, 2^21514560 is an apocalyptic number.

21514560 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 21514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34735008).

21514560 is an abundant number, since it is smaller than the sum of its proper divisors (47955456).

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

21514560 is a wasteful number, since it uses less digits than its factorization.

21514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 21514560 is about 4638.3790272034. The cubic root of 21514560 is about 278.1276435384.

The spelling of 21514560 in words is "twenty-one million, five hundred fourteen thousand, five hundred sixty".