1667252224 has 135 divisors (see below), whose sum is σ = 3795827581. Its totient is φ = 731709440.

The previous prime is 1667252161. The next prime is 1667252231. The reversal of 1667252224 is 4222527661.

The square root of 1667252224 is 40832.

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

It can be written as a sum of positive squares in only one way, i.e., 874266624 + 792985600 = 29568^2 + 28160^2 .

It is a Duffinian number.

Its product of digits (80640) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57491442 + ... + 57491470.

Almost surely, 2^1667252224 is an apocalyptic number.

1667252224 is the 40832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1667252224

1667252224 is an abundant number, since it is smaller than the sum of its proper divisors (2128575357).

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

1667252224 is an frugal number, since it uses more digits than its factorization.

1667252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 42 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The cubic root of 1667252224 is about 1185.7699362360.

Adding to 1667252224 its reverse (4222527661), we get a palindrome (5889779885).

The spelling of 1667252224 in words is "one billion, six hundred sixty-seven million, two hundred fifty-two thousand, two hundred twenty-four".