1617224992 has 48 divisors (see below), whose sum is σ = 3268900152. Its totient is φ = 787118080.

The previous prime is 1617224981. The next prime is 1617225023. The reversal of 1617224992 is 2994227161.

It can be written as a sum of positive squares in 4 ways, for example, as 1150837776 + 466387216 = 33924^2 + 21596^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729678 + ... + 731890.

Almost surely, 2^1617224992 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 1617224992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634450076).

1617224992 is an abundant number, since it is smaller than the sum of its proper divisors (1651675160).

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

1617224992 is a wasteful number, since it uses less digits than its factorization.

1617224992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2813 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 1617224992 is about 40214.7360055987. The cubic root of 1617224992 is about 1173.7893048173.

The spelling of 1617224992 in words is "one billion, six hundred seventeen million, two hundred twenty-four thousand, nine hundred ninety-two".