20133792 has 96 divisors (see below), whose sum is σ = 67132800. Its totient is φ = 5750784.

The previous prime is 20133781. The next prime is 20133793. The reversal of 20133792 is 29733102.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20133793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4384 + ... + 7712.

It is an arithmetic number, because the mean of its divisors is an integer number (699300).

Almost surely, 2^20133792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20133792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33566400).

20133792 is an abundant number, since it is smaller than the sum of its proper divisors (46999008).

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

20133792 is a wasteful number, since it uses less digits than its factorization.

20133792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 20133792 is about 4487.0694222399. The cubic root of 20133792 is about 272.0456958982.

Adding to 20133792 its reverse (29733102), we get a palindrome (49866894).

The spelling of 20133792 in words is "twenty million, one hundred thirty-three thousand, seven hundred ninety-two".