32441940 has 36 divisors (see below), whose sum is σ = 98407764. Its totient is φ = 8651136.

The previous prime is 32441939. The next prime is 32441951. The reversal of 32441940 is 4914423.

32441940 = 275² + 276² + ... + 490².

It can be written as a sum of positive squares in 2 ways, for example, as 13883076 + 18558864 = 3726^2 + 4308^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 congruent number.

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 11 ways as a sum of consecutive naturals, for example, 89937 + ... + 90296.

It is an arithmetic number, because the mean of its divisors is an integer number (2733549).

Almost surely, 2^32441940 is an apocalyptic number.

32441940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32441940 is an abundant number, since it is smaller than the sum of its proper divisors (65965824).

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

32441940 is a wasteful number, since it uses less digits than its factorization.

32441940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180248 (or 180243 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 32441940 is about 5695.7826503475. The cubic root of 32441940 is about 318.9350666930.

It can be divided in two parts, 3244 and 1940, that added together give a square (5184 = 72²).

The spelling of 32441940 in words is "thirty-two million, four hundred forty-one thousand, nine hundred forty".