20493792 has 72 divisors (see below), whose sum is σ = 63587160. Its totient is φ = 6209280.

The previous prime is 20493791. The next prime is 20493839. The reversal of 20493792 is 29739402.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20493791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67 + ... + 6402.

It is an arithmetic number, because the mean of its divisors is an integer number (883155).

Almost surely, 2^20493792 is an apocalyptic number.

20493792 is a gapful number since it is divisible by the number (22) 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 20493792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31793580).

20493792 is an abundant number, since it is smaller than the sum of its proper divisors (43093368).

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

20493792 is a wasteful number, since it uses less digits than its factorization.

20493792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 20493792 is about 4527.0069582451. The cubic root of 20493792 is about 273.6575543228.

Subtracting from 20493792 its product of nonzero digits (27216), we obtain a square (20466576 = 4524²).

The spelling of 20493792 in words is "twenty million, four hundred ninety-three thousand, seven hundred ninety-two".