1617570672 has 80 divisors (see below), whose sum is σ = 4497203232. Its totient is φ = 499138560.

The previous prime is 1617570637. The next prime is 1617570673. The reversal of 1617570672 is 2760757161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1617570673) 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 15 ways as a sum of consecutive naturals, for example, 33528 + ... + 66024.

Almost surely, 2^1617570672 is an apocalyptic number.

1617570672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1617570672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248601616).

1617570672 is an abundant number, since it is smaller than the sum of its proper divisors (2879632560).

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

1617570672 is a wasteful number, since it uses less digits than its factorization.

1617570672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32586 (or 32580 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The square root of 1617570672 is about 40219.0337029621. The cubic root of 1617570672 is about 1173.8729309016.

The spelling of 1617570672 in words is "one billion, six hundred seventeen million, five hundred seventy thousand, six hundred seventy-two".