32432640 has 160 divisors (see below), whose sum is σ = 107243136. Its totient is φ = 8355840.

The previous prime is 32432633. The next prime is 32432641. The reversal of 32432640 is 4623423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×32432640² = 2103752274739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 32432640.

It is not an unprimeable number, because it can be changed into a prime (32432641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314829 + ... + 314931.

Almost surely, 2^32432640 is an apocalyptic number.

32432640 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 32432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621568).

32432640 is an abundant number, since it is smaller than the sum of its proper divisors (74810496).

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

32432640 is a wasteful number, since it uses less digits than its factorization.

32432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 32432640 is about 5694.9661983194. The cubic root of 32432640 is about 318.9045878376.

The spelling of 32432640 in words is "thirty-two million, four hundred thirty-two thousand, six hundred forty".