32120564 has 48 divisors (see below), whose sum is σ = 68208000. Its totient is φ = 12928896.

The previous prime is 32120549. The next prime is 32120567. The reversal of 32120564 is 46502123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32120567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91862 + ... + 92210.

It is an arithmetic number, because the mean of its divisors is an integer number (1421000).

Almost surely, 2^32120564 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 32120564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34104000).

32120564 is an abundant number, since it is smaller than the sum of its proper divisors (36087436).

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

32120564 is a wasteful number, since it uses less digits than its factorization.

32120564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 32120564 is about 5667.5006837229. The cubic root of 32120564 is about 317.8784261616.

Adding to 32120564 its reverse (46502123), we get a palindrome (78622687).

The spelling of 32120564 in words is "thirty-two million, one hundred twenty thousand, five hundred sixty-four".