20071632 has 160 divisors (see below), whose sum is σ = 63995904. Its totient is φ = 5299200.

The previous prime is 20071631. The next prime is 20071637. The reversal of 20071632 is 23617002.

It is a happy number.

It is a super-2 number, since 2×20071632² = 805740822286848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20071599 and 20071608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20071631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427033 + ... + 427079.

Almost surely, 2^20071632 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 20071632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31997952).

20071632 is an abundant number, since it is smaller than the sum of its proper divisors (43924272).

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

20071632 is a wasteful number, since it uses less digits than its factorization.

20071632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 20071632 is about 4480.1374978900. The cubic root of 20071632 is about 271.7654408079.

Adding to 20071632 its reverse (23617002), we get a palindrome (43688634).

The spelling of 20071632 in words is "twenty million, seventy-one thousand, six hundred thirty-two".