32426640 has 120 divisors (see below), whose sum is σ = 112727160. Its totient is φ = 8343552.

The previous prime is 32426627. The next prime is 32426657. The reversal of 32426640 is 4662423.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 32080896 = 588^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20104 + ... + 21656.

It is an arithmetic number, because the mean of its divisors is an integer number (939393).

Almost surely, 2^32426640 is an apocalyptic number.

32426640 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 32426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56363580).

32426640 is an abundant number, since it is smaller than the sum of its proper divisors (80300520).

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

32426640 is a wasteful number, since it uses less digits than its factorization.

32426640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 32426640 is about 5694.4393929517. The cubic root of 32426640 is about 318.8849209677.

The spelling of 32426640 in words is "thirty-two million, four hundred twenty-six thousand, six hundred forty".