32507640 has 96 divisors (see below), whose sum is σ = 115268400. Its totient is φ = 7879680.

The previous prime is 32507633. The next prime is 32507641. The reversal of 32507640 is 4670523.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32507641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145 + ... + 8064.

Almost surely, 2^32507640 is an apocalyptic number.

32507640 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 32507640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57634200).

32507640 is an abundant number, since it is smaller than the sum of its proper divisors (82760760).

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

32507640 is a wasteful number, since it uses less digits than its factorization.

32507640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8237 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 32507640 is about 5701.5471584474. The cubic root of 32507640 is about 319.1502193083.

The spelling of 32507640 in words is "thirty-two million, five hundred seven thousand, six hundred forty".