1606641792 has 192 divisors, whose sum is σ = 5018644800. Its totient is φ = 454035456.

The previous prime is 1606641781. The next prime is 1606641811. The reversal of 1606641792 is 2971466061.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1937634 + ... + 1938462.

It is an arithmetic number, because the mean of its divisors is an integer number (26138775).

Almost surely, 2^1606641792 is an apocalyptic number.

1606641792 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 1606641792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509322400).

1606641792 is an abundant number, since it is smaller than the sum of its proper divisors (3412003008).

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

1606641792 is a wasteful number, since it uses less digits than its factorization.

1606641792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1606641792 is about 40082.9364193793. The cubic root of 1606641792 is about 1171.2232541891.

The spelling of 1606641792 in words is "one billion, six hundred six million, six hundred forty-one thousand, seven hundred ninety-two".