20377632 has 96 divisors (see below), whose sum is σ = 60963840. Its totient is φ = 5899520.

The previous prime is 20377627. The next prime is 20377661. The reversal of 20377632 is 23677302.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20377632.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23869 + ... + 24707.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^20377632 is an apocalyptic number.

20377632 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 20377632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

20377632 is an abundant number, since it is smaller than the sum of its proper divisors (40586208).

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

20377632 is a wasteful number, since it uses less digits than its factorization.

20377632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 20377632 is about 4514.1590578977. The cubic root of 20377632 is about 273.1395387499.

It can be divided in two parts, 2037 and 7632, that added together give a palindrome (9669).

The spelling of 20377632 in words is "twenty million, three hundred seventy-seven thousand, six hundred thirty-two".