1609810560 has 96 divisors (see below), whose sum is σ = 5558896980. Its totient is φ = 429281280.

The previous prime is 1609810537. The next prime is 1609810567. The reversal of 1609810560 is 650189061.

1609810560 is a `hidden beast` number, since 1 + 6 + 0 + 98 + 1 + 0 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1592967744 + 16842816 = 39912^2 + 4104^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609810567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133981 + ... + 145500.

Almost surely, 2^1609810560 is an apocalyptic number.

1609810560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1609810560 is an abundant number, since it is smaller than the sum of its proper divisors (3949086420).

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

1609810560 is a wasteful number, since it uses less digits than its factorization.

1609810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279506 (or 279491 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1609810560 is about 40122.4445915251. Note that the first 3 decimals coincide. The cubic root of 1609810560 is about 1171.9927469100.

The spelling of 1609810560 in words is "one billion, six hundred nine million, eight hundred ten thousand, five hundred sixty".