1606577680 has 40 divisors (see below), whose sum is σ = 3931891200. Its totient is φ = 608807808.

The previous prime is 1606577677. The next prime is 1606577681. The reversal of 1606577680 is 867756061.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1606577680.

It is not an unprimeable number, because it can be changed into a prime (1606577681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526960 + ... + 529999.

It is an arithmetic number, because the mean of its divisors is an integer number (98297280).

Almost surely, 2^1606577680 is an apocalyptic number.

1606577680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1606577680 is an abundant number, since it is smaller than the sum of its proper divisors (2325313520).

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

1606577680 is a wasteful number, since it uses less digits than its factorization.

1606577680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056991 (or 1056985 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 1606577680 is about 40082.1366695939. The cubic root of 1606577680 is about 1171.2076750134.

The spelling of 1606577680 in words is "one billion, six hundred six million, five hundred seventy-seven thousand, six hundred eighty".