32142816 has 72 divisors (see below), whose sum is σ = 91990080. Its totient is φ = 10646016.

The previous prime is 32142763. The next prime is 32142823. The reversal of 32142816 is 61824123.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 32142816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66865 + ... + 67343.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^32142816 is an apocalyptic number.

32142816 is a gapful number since it is divisible by the number (36) 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 32142816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45995040).

32142816 is an abundant number, since it is smaller than the sum of its proper divisors (59847264).

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

32142816 is a wasteful number, since it uses less digits than its factorization.

32142816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 717 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 32142816 is about 5669.4634666783. The cubic root of 32142816 is about 317.9518142249.

Adding to 32142816 its reverse (61824123), we get a palindrome (93966939).

The spelling of 32142816 in words is "thirty-two million, one hundred forty-two thousand, eight hundred sixteen".