32997640 has 128 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 11151360.

The previous prime is 32997637. The next prime is 32997649. The reversal of 32997640 is 4679923.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 32997593 and 32997602.

It is not an unprimeable number, because it can be changed into a prime (32997649) 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 31 ways as a sum of consecutive naturals, for example, 370716 + ... + 370804.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 2^32997640 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 32997640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

32997640 is an abundant number, since it is smaller than the sum of its proper divisors (54093560).

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

32997640 is a wasteful number, since it uses less digits than its factorization.

32997640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 32997640 is about 5744.3572312314. The cubic root of 32997640 is about 320.7457865738.

It can be divided in two parts, 329 and 97640, that added together give a square (97969 = 313²).

The spelling of 32997640 in words is "thirty-two million, nine hundred ninety-seven thousand, six hundred forty".