1617085540 has 24 divisors (see below), whose sum is σ = 3881005632. Its totient is φ = 554429280.

The previous prime is 1617085537. The next prime is 1617085601. The reversal of 1617085540 is 455807161.

It is a super-2 number, since 2×1617085540² = 5229931287354183200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1617085540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5775166 + ... + 5775445.

It is an arithmetic number, because the mean of its divisors is an integer number (161708568).

Almost surely, 2^1617085540 is an apocalyptic number.

1617085540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1617085540 is an abundant number, since it is smaller than the sum of its proper divisors (2263920092).

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

1617085540 is a wasteful number, since it uses less digits than its factorization.

1617085540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11550627 (or 11550625 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 1617085540 is about 40213.0021261780. The cubic root of 1617085540 is about 1173.7555655475.

The spelling of 1617085540 in words is "one billion, six hundred seventeen million, eighty-five thousand, five hundred forty".