20924160 has 72 divisors (see below), whose sum is σ = 66838800. Its totient is φ = 5578752.

The previous prime is 20924153. The next prime is 20924191. The reversal of 20924160 is 6142902.

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 20924160.

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 7 ways as a sum of consecutive naturals, for example, 1116 + ... + 6564.

Almost surely, 2^20924160 is an apocalyptic number.

20924160 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 20924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33419400).

20924160 is an abundant number, since it is smaller than the sum of its proper divisors (45914640).

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

20924160 is an equidigital number, since it uses as much as digits as its factorization.

20924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20924160 is about 4574.2933880546. The cubic root of 20924160 is about 275.5598951026.

The spelling of 20924160 in words is "twenty million, nine hundred twenty-four thousand, one hundred sixty".