32126224 has 45 divisors (see below), whose sum is σ = 68024943. Its totient is φ = 14691456.

The previous prime is 32126221. The next prime is 32126231. The reversal of 32126224 is 42262123.

32126224 = T₁₂₆₄ + T₁₂₆₅ + ... + T₁₃₀₂.

The square root of 32126224 is 5668.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1123600 + 31002624 = 1060^2 + 5568^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32126195 and 32126204.

It is not an unprimeable number, because it can be changed into a prime (32126221) 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 8 ways as a sum of consecutive naturals, for example, 294682 + ... + 294790.

Almost surely, 2^32126224 is an apocalyptic number.

32126224 is the 5668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32126224

32126224 is an abundant number, since it is smaller than the sum of its proper divisors (35898719).

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

32126224 is a wasteful number, since it uses less digits than its factorization.

32126224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 124 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The cubic root of 32126224 is about 317.8970963010.

Adding to 32126224 its reverse (42262123), we get a palindrome (74388347).

The spelling of 32126224 in words is "thirty-two million, one hundred twenty-six thousand, two hundred twenty-four".