20715360 has 96 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 5457408.

The previous prime is 20715349. The next prime is 20715407. The reversal of 20715360 is 6351702.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20715360² = 858252279859200, 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 20715360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49231 + ... + 49649.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^20715360 is an apocalyptic number.

20715360 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 20715360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

20715360 is an abundant number, since it is smaller than the sum of its proper divisors (45328800).

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

20715360 is a wasteful number, since it uses less digits than its factorization.

20715360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 20715360 is about 4551.4129674201. The cubic root of 20715360 is about 274.6402347812.

The spelling of 20715360 in words is "twenty million, seven hundred fifteen thousand, three hundred sixty".