32921480 has 48 divisors (see below), whose sum is σ = 75754980. Its totient is φ = 12876032.

The previous prime is 32921431. The next prime is 32921489. The reversal of 32921480 is 8412923.

It can be written as a sum of positive squares in 6 ways, for example, as 29008996 + 3912484 = 5386^2 + 1978^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (32921489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112214 + ... + 112506.

Almost surely, 2^32921480 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 32921480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37877490).

32921480 is an abundant number, since it is smaller than the sum of its proper divisors (42833500).

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

32921480 is a wasteful number, since it uses less digits than its factorization.

32921480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 32921480 is about 5737.7242875551. The cubic root of 32921480 is about 320.4988313687.

It can be divided in two parts, 329 and 21480, that multiplied together give a triangular number (7066920 = T₃₇₅₉).

The spelling of 32921480 in words is "thirty-two million, nine hundred twenty-one thousand, four hundred eighty".