20029632 has 84 divisors (see below), whose sum is σ = 61676280. Its totient is φ = 5720064.

The previous prime is 20029631. The next prime is 20029657. The reversal of 20029632 is 23692002.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×20029632³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20029631) 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, 8344 + ... + 10472.

Almost surely, 2^20029632 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 20029632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30838140).

20029632 is an abundant number, since it is smaller than the sum of its proper divisors (41646648).

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

20029632 is a wasteful number, since it uses less digits than its factorization.

20029632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 20029632 is about 4475.4476871035. The cubic root of 20029632 is about 271.5757515461.

The spelling of 20029632 in words is "twenty million, twenty-nine thousand, six hundred thirty-two".