1685268144 has 240 divisors, whose sum is σ = 5672589312. Its totient is φ = 456648192.

The previous prime is 1685268139. The next prime is 1685268149. The reversal of 1685268144 is 4418625861.

It is a happy number.

1685268144 is a `hidden beast` number, since 1 + 6 + 8 + 526 + 81 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (1685268139) and next prime (1685268149).

It is a self number, because there is not a number n which added to its sum of digits gives 1685268144.

It is not an unprimeable number, because it can be changed into a prime (1685268149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3639657 + ... + 3640119.

Almost surely, 2^1685268144 is an apocalyptic number.

1685268144 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 1685268144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836294656).

1685268144 is an abundant number, since it is smaller than the sum of its proper divisors (3987321168).

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

1685268144 is a wasteful number, since it uses less digits than its factorization.

1685268144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 655 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 1685268144 is about 41052.0175387276. The cubic root of 1685268144 is about 1190.0256906630.

The spelling of 1685268144 in words is "one billion, six hundred eighty-five million, two hundred sixty-eight thousand, one hundred forty-four".