1692198144 has 324 divisors, whose sum is σ = 6117485556. Its totient is φ = 445906944.

The previous prime is 1692198143. The next prime is 1692198161. The reversal of 1692198144 is 4418912961.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 777740544 + 914457600 = 27888^2 + 30240^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1692198144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1692198143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1467072 + ... + 1468224.

Almost surely, 2^1692198144 is an apocalyptic number.

1692198144 is a gapful number since it is divisible by the number (14) 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 1692198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058742778).

1692198144 is an abundant number, since it is smaller than the sum of its proper divisors (4425287412).

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

1692198144 is a wasteful number, since it uses less digits than its factorization.

1692198144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1178 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1692198144 is about 41136.3360546367. The cubic root of 1692198144 is about 1191.6546302097.

The spelling of 1692198144 in words is "one billion, six hundred ninety-two million, one hundred ninety-eight thousand, one hundred forty-four".