32140020 has 144 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 7349760.

The previous prime is 32139977. The next prime is 32140021. The reversal of 32140020 is 2004123.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 32139978 and 32140005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32140021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137824 + ... + 138056.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 2^32140020 is an apocalyptic number.

32140020 is a gapful number since it is divisible by the number (30) 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 32140020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

32140020 is an abundant number, since it is smaller than the sum of its proper divisors (72429900).

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

32140020 is a wasteful number, since it uses less digits than its factorization.

32140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 32140020 is about 5669.2168771357. The cubic root of 32140020 is about 317.9425947563.

Adding to 32140020 its reverse (2004123), we get a palindrome (34144143).

The spelling of 32140020 in words is "thirty-two million, one hundred forty thousand, twenty".