1617680401 has 8 divisors (see below), whose sum is σ = 1642118400. Its totient is φ = 1593288480.

The previous prime is 1617680399. The next prime is 1617680417. The reversal of 1617680401 is 1040867161.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1617680401 - 2¹ = 1617680399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1617680201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62805 + ... + 84733.

It is an arithmetic number, because the mean of its divisors is an integer number (205264800).

Almost surely, 2^1617680401 is an apocalyptic number.

It is an amenable number.

1617680401 is a deficient number, since it is larger than the sum of its proper divisors (24437999).

1617680401 is a wasteful number, since it uses less digits than its factorization.

1617680401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23039.

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 1617680401 is about 40220.3978224980. The cubic root of 1617680401 is about 1173.8994737893.

The spelling of 1617680401 in words is "one billion, six hundred seventeen million, six hundred eighty thousand, four hundred one".