32840640 has 280 divisors, whose sum is σ = 134246112. Its totient is φ = 7464960.

The previous prime is 32840629. The next prime is 32840641. The reversal of 32840640 is 4604823.

It is a tau number, because it is divible by the number of its divisors (280).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32840641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181350 + ... + 181530.

Almost surely, 2^32840640 is an apocalyptic number.

32840640 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 32840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67123056).

32840640 is an abundant number, since it is smaller than the sum of its proper divisors (101405472).

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

32840640 is a wasteful number, since it uses less digits than its factorization.

32840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

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

The square root of 32840640 is about 5730.6753528707. The cubic root of 32840640 is about 320.2362838215.

The spelling of 32840640 in words is "thirty-two million, eight hundred forty thousand, six hundred forty".