1606605792 has 96 divisors (see below), whose sum is σ = 4611116160. Its totient is φ = 485752320.

The previous prime is 1606605773. The next prime is 1606605853. The reversal of 1606605792 is 2975066061.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550834 + ... + 553742.

It is an arithmetic number, because the mean of its divisors is an integer number (48032460).

Almost surely, 2^1606605792 is an apocalyptic number.

1606605792 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 1606605792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305558080).

1606605792 is an abundant number, since it is smaller than the sum of its proper divisors (3004510368).

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

1606605792 is a wasteful number, since it uses less digits than its factorization.

1606605792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 1606605792 is about 40082.4873479678. The cubic root of 1606605792 is about 1171.2145062627.

The spelling of 1606605792 in words is "one billion, six hundred six million, six hundred five thousand, seven hundred ninety-two".