32160420 has 144 divisors (see below), whose sum is σ = 103587120. Its totient is φ = 8064000.

The previous prime is 32160419. The next prime is 32160451. The reversal of 32160420 is 2406123.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 147456 + 32012964 = 384^2 + 5658^2 .

It is a super-2 number, since 2×32160420² = 2068585229152800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32160393 and 32160402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318370 + ... + 318470.

It is an arithmetic number, because the mean of its divisors is an integer number (719355).

Almost surely, 2^32160420 is an apocalyptic number.

32160420 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 32160420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51793560).

32160420 is an abundant number, since it is smaller than the sum of its proper divisors (71426700).

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

32160420 is a wasteful number, since it uses less digits than its factorization.

32160420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 32160420 is about 5671.0157820271. The cubic root of 32160420 is about 318.0098489889.

Adding to 32160420 its reverse (2406123), we get a palindrome (34566543).

The spelling of 32160420 in words is "thirty-two million, one hundred sixty thousand, four hundred twenty".