32406804 has 60 divisors (see below), whose sum is σ = 87664500. Its totient is φ = 10426752.

The previous prime is 32406791. The next prime is 32406809. The reversal of 32406804 is 40860423.

It can be written as a sum of positive squares in 2 ways, for example, as 5904900 + 26501904 = 2430^2 + 5148^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32406809) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7672 + ... + 11120.

It is an arithmetic number, because the mean of its divisors is an integer number (1461075).

Almost surely, 2^32406804 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 32406804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43832250).

32406804 is an abundant number, since it is smaller than the sum of its proper divisors (55257696).

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

32406804 is a wasteful number, since it uses less digits than its factorization.

32406804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 32406804 is about 5692.6974274064. The cubic root of 32406804 is about 318.8198850228.

The spelling of 32406804 in words is "thirty-two million, four hundred six thousand, eight hundred four".