1692081216 has 168 divisors, whose sum is σ = 5661477120. Its totient is φ = 473112576.

The previous prime is 1692081203. The next prime is 1692081221. The reversal of 1692081216 is 6121802961.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 185040 + ... + 193968.

Almost surely, 2^1692081216 is an apocalyptic number.

1692081216 is a gapful number since it is divisible by the number (16) 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 1692081216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830738560).

1692081216 is an abundant number, since it is smaller than the sum of its proper divisors (3969395904).

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

1692081216 is a wasteful number, since it uses less digits than its factorization.

1692081216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9001 (or 8988 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1692081216 is about 41134.9148048224. The cubic root of 1692081216 is about 1191.6271824780.

The spelling of 1692081216 in words is "one billion, six hundred ninety-two million, eighty-one thousand, two hundred sixteen".