1617117120 has 168 divisors, whose sum is σ = 5804282016. Its totient is φ = 412465152.

The previous prime is 1617117107. The next prime is 1617117127. The reversal of 1617117120 is 217117161.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1617117127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54034 + ... + 78446.

Almost surely, 2^1617117120 is an apocalyptic number.

1617117120 is a gapful number since it is divisible by the number (10) 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 1617117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902141008).

1617117120 is an abundant number, since it is smaller than the sum of its proper divisors (4187164896).

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

1617117120 is a wasteful number, since it uses less digits than its factorization.

1617117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24459 (or 24446 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 27.

The square root of 1617117120 is about 40213.3947833306. The cubic root of 1617117120 is about 1173.7632062398.

The spelling of 1617117120 in words is "one billion, six hundred seventeen million, one hundred seventeen thousand, one hundred twenty".