1617090048 has 320 divisors, whose sum is σ = 5798200320. Its totient is φ = 434405376.

The previous prime is 1617090047. The next prime is 1617090071. The reversal of 1617090048 is 8400907161.

It is a super-2 number, since 2×1617090048² = 5229960446681284608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1617089994 and 1617090021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1617090047) 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, 1644565 + ... + 1645547.

It is an arithmetic number, because the mean of its divisors is an integer number (18119376).

Almost surely, 2^1617090048 is an apocalyptic number.

1617090048 is a gapful number since it is divisible by the number (18) 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 1617090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899100160).

1617090048 is an abundant number, since it is smaller than the sum of its proper divisors (4181110272).

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

1617090048 is an equidigital number, since it uses as much as digits as its factorization.

1617090048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1617090048 is about 40213.0581776616. The cubic root of 1617090048 is about 1173.7566562515.

The spelling of 1617090048 in words is "one billion, six hundred seventeen million, ninety thousand, forty-eight".