32740000 has 60 divisors (see below), whose sum is σ = 80594514. Its totient is φ = 13088000.

The previous prime is 32739961. The next prime is 32740007. The reversal of 32740000 is 4723.

It can be written as a sum of positive squares in 5 ways, for example, as 1245456 + 31494544 = 1116^2 + 5612^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (32740007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19182 + ... + 20818.

Almost surely, 2^32740000 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 32740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40297257).

32740000 is an abundant number, since it is smaller than the sum of its proper divisors (47854514).

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

32740000 is an equidigital number, since it uses as much as digits as its factorization.

32740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 32740000 is about 5721.8878003680. The cubic root of 32740000 is about 319.9088281932.

Adding to 32740000 its reverse (4723), we get a palindrome (32744723).

The spelling of 32740000 in words is "thirty-two million, seven hundred forty thousand".