1617118720 has 320 divisors, whose sum is σ = 4751695872. Its totient is φ = 516096000.

The previous prime is 1617118687. The next prime is 1617118729. The reversal of 1617118720 is 278117161.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1617118729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22776285 + ... + 22776355.

Almost surely, 2^1617118720 is an apocalyptic number.

1617118720 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 1617118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375847936).

1617118720 is an abundant number, since it is smaller than the sum of its proper divisors (3134577152).

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

1617118720 is an equidigital number, since it uses as much as digits as its factorization.

1617118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 34.

The square root of 1617118720 is about 40213.4146771945. The cubic root of 1617118720 is about 1173.7635933527.

The spelling of 1617118720 in words is "one billion, six hundred seventeen million, one hundred eighteen thousand, seven hundred twenty".