1664497224 has 288 divisors, whose sum is σ = 5202873000. Its totient is φ = 479711232.

The previous prime is 1664497187. The next prime is 1664497231. The reversal of 1664497224 is 4227944661.

It can be written as a sum of positive squares in 12 ways, for example, as 2304324 + 1662192900 = 1518^2 + 40770^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (580608) is a multiple of the sum of its prime divisors (189).

It is a self number, because there is not a number n which added to its sum of digits gives 1664497224.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18702172 + ... + 18702260.

Almost surely, 2^1664497224 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 1664497224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601436500).

1664497224 is an abundant number, since it is smaller than the sum of its proper divisors (3538375776).

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

1664497224 is a wasteful number, since it uses less digits than its factorization.

1664497224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 189 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 1664497224 is about 40798.2502565980. The cubic root of 1664497224 is about 1185.1164463894.

The spelling of 1664497224 in words is "one billion, six hundred sixty-four million, four hundred ninety-seven thousand, two hundred twenty-four".