32804640 has 288 divisors, whose sum is σ = 129729600. Its totient is φ = 7464960.

The previous prime is 32804623. The next prime is 32804669. The reversal of 32804640 is 4640823.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×32804640² = 2152288811059200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300906 + ... + 301014.

It is an arithmetic number, because the mean of its divisors is an integer number (450450).

Almost surely, 2^32804640 is an apocalyptic number.

32804640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864800).

32804640 is an abundant number, since it is smaller than the sum of its proper divisors (96924960).

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

32804640 is a wasteful number, since it uses less digits than its factorization.

32804640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 32804640 is about 5727.5335005568. The cubic root of 32804640 is about 320.1192264061.

The spelling of 32804640 in words is "thirty-two million, eight hundred four thousand, six hundred forty".