20768832 has 224 divisors, whose sum is σ = 74615040. Its totient is φ = 5529600.

The previous prime is 20768827. The next prime is 20768851. The reversal of 20768832 is 23886702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205582 + ... + 205682.

Almost surely, 2^20768832 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 20768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37307520).

20768832 is an abundant number, since it is smaller than the sum of its proper divisors (53846208).

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

20768832 is a wasteful number, since it uses less digits than its factorization.

20768832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20768832 is about 4557.2834013258. The cubic root of 20768832 is about 274.8763388912.

The spelling of 20768832 in words is "twenty million, seven hundred sixty-eight thousand, eight hundred thirty-two".