1792164096 has 144 divisors (see below), whose sum is σ = 5326009920. Its totient is φ = 594432000.

The previous prime is 1792164091. The next prime is 1792164119. The reversal of 1792164096 is 6904612971.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1792164091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1734396 + ... + 1735428.

It is an arithmetic number, because the mean of its divisors is an integer number (36986180).

Almost surely, 2^1792164096 is an apocalyptic number.

1792164096 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 1792164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663004960).

1792164096 is an abundant number, since it is smaller than the sum of its proper divisors (3533845824).

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

1792164096 is a wasteful number, since it uses less digits than its factorization.

1792164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1792164096 is about 42333.9591344821. The cubic root of 1792164096 is about 1214.6726629240.

The spelling of 1792164096 in words is "one billion, seven hundred ninety-two million, one hundred sixty-four thousand, ninety-six".