32276480 has 64 divisors (see below), whose sum is σ = 77855580. Its totient is φ = 12845056.

The previous prime is 32276467. The next prime is 32276483. The reversal of 32276480 is 8467223.

It can be written as a sum of positive squares in 2 ways, for example, as 30294016 + 1982464 = 5504^2 + 1408^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×32276480² = 2083542322380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (32276483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163742 + ... + 163938.

Almost surely, 2^32276480 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 32276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38927790).

32276480 is an abundant number, since it is smaller than the sum of its proper divisors (45579100).

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

32276480 is an frugal number, since it uses more digits than its factorization.

32276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 204 counting only the distinct ones).

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

The square root of 32276480 is about 5681.2393014201. The cubic root of 32276480 is about 318.3919326592.

The spelling of 32276480 in words is "thirty-two million, two hundred seventy-six thousand, four hundred eighty".