32714320 has 80 divisors (see below), whose sum is σ = 80352000. Its totient is φ = 12368384.

The previous prime is 32714299. The next prime is 32714321. The reversal of 32714320 is 2341723.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 32714291 and 32714300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32714321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136761 + ... + 136999.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^32714320 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 32714320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176000).

32714320 is an abundant number, since it is smaller than the sum of its proper divisors (47637680).

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

32714320 is a wasteful number, since it uses less digits than its factorization.

32714320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 32714320 is about 5719.6433455243. The cubic root of 32714320 is about 319.8251649112.

The spelling of 32714320 in words is "thirty-two million, seven hundred fourteen thousand, three hundred twenty".