32891940 has 96 divisors (see below), whose sum is σ = 108380160. Its totient is φ = 8252928.

The previous prime is 32891891. The next prime is 32891951. The reversal of 32891940 is 4919823.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32891895 and 32891904.

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 31 ways as a sum of consecutive naturals, for example, 7389 + ... + 10971.

It is an arithmetic number, because the mean of its divisors is an integer number (1128960).

Almost surely, 2^32891940 is an apocalyptic number.

32891940 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 32891940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54190080).

32891940 is an abundant number, since it is smaller than the sum of its proper divisors (75488220).

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

32891940 is a wasteful number, since it uses less digits than its factorization.

32891940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 32891940 is about 5735.1495185392. The cubic root of 32891940 is about 320.4029429235.

The spelling of 32891940 in words is "thirty-two million, eight hundred ninety-one thousand, nine hundred forty".