32468720 has 80 divisors (see below), whose sum is σ = 81557280. Its totient is φ = 11980800.

The previous prime is 32468677. The next prime is 32468747. The reversal of 32468720 is 2786423.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62060 + ... + 62580.

It is an arithmetic number, because the mean of its divisors is an integer number (1019466).

Almost surely, 2^32468720 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 32468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40778640).

32468720 is an abundant number, since it is smaller than the sum of its proper divisors (49088560).

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

32468720 is a wasteful number, since it uses less digits than its factorization.

32468720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 32468720 is about 5698.1330275802. The cubic root of 32468720 is about 319.0228001641.

The spelling of 32468720 in words is "thirty-two million, four hundred sixty-eight thousand, seven hundred twenty".