1617681248 has 48 divisors (see below), whose sum is σ = 3309828480. Its totient is φ = 777348096.

The previous prime is 1617681227. The next prime is 1617681259. The reversal of 1617681248 is 8421867161.

It is a junction number, because it is equal to n+sod(n) for n = 1617681199 and 1617681208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203036 + ... + 210852.

It is an arithmetic number, because the mean of its divisors is an integer number (68954760).

Almost surely, 2^1617681248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1617681248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654914240).

1617681248 is an abundant number, since it is smaller than the sum of its proper divisors (1692147232).

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

1617681248 is a wasteful number, since it uses less digits than its factorization.

1617681248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8079 (or 8071 counting only the distinct ones).

The product of its digits is 129024, while the sum is 44.

The square root of 1617681248 is about 40220.4083519797. The cubic root of 1617681248 is about 1173.8996786697.

The spelling of 1617681248 in words is "one billion, six hundred seventeen million, six hundred eighty-one thousand, two hundred forty-eight".