1693312992 has 576 divisors, whose sum is σ = 6287984640. Its totient is φ = 440681472.

The previous prime is 1693312979. The next prime is 1693313053. The reversal of 1693312992 is 2992133961.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36027913 + ... + 36027959.

It is an arithmetic number, because the mean of its divisors is an integer number (10916640).

Almost surely, 2^1693312992 is an apocalyptic number.

1693312992 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 1693312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143992320).

1693312992 is an abundant number, since it is smaller than the sum of its proper divisors (4594671648).

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

1693312992 is a wasteful number, since it uses less digits than its factorization.

1693312992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 1693312992 is about 41149.8844712838. The cubic root of 1693312992 is about 1191.9162666585.

The spelling of 1693312992 in words is "one billion, six hundred ninety-three million, three hundred twelve thousand, nine hundred ninety-two".