1669496832 has 320 divisors, whose sum is σ = 5423938740. Its totient is φ = 509607936.

The previous prime is 1669496819. The next prime is 1669496839. The reversal of 1669496832 is 2386949661.

1669496832 is a `hidden beast` number, since 16 + 69 + 496 + 83 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1445216256 + 224280576 = 38016^2 + 14976^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3359232) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (1669496839) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 45121518 + ... + 45121554.

Almost surely, 2^1669496832 is an apocalyptic number.

1669496832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1669496832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711969370).

1669496832 is an abundant number, since it is smaller than the sum of its proper divisors (3754441908).

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

1669496832 is an frugal number, since it uses more digits than its factorization.

1669496832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 1669496832 is about 40859.4766486307. The cubic root of 1669496832 is about 1186.3018283945.

It can be divided in two parts, 16694 and 96832, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 1669496832 in words is "one billion, six hundred sixty-nine million, four hundred ninety-six thousand, eight hundred thirty-two".