32640000 has 220 divisors, whose sum is σ = 115106904. Its totient is φ = 8192000.

The previous prime is 32639987. The next prime is 32640001. The reversal of 32640000 is 4623.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (32640001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1919992 + ... + 1920008.

Almost surely, 2^32640000 is an apocalyptic number.

32640000 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 32640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57553452).

32640000 is an abundant number, since it is smaller than the sum of its proper divisors (82466904).

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

32640000 is an equidigital number, since it uses as much as digits as its factorization.

32640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 32640000 is about 5713.1427428343. The cubic root of 32640000 is about 319.5827896182.

Adding to 32640000 its reverse (4623), we get a palindrome (32644623).

The spelling of 32640000 in words is "thirty-two million, six hundred forty thousand".