1617952968 has 160 divisors (see below), whose sum is σ = 4829540760. Its totient is φ = 504299520.

The previous prime is 1617952967. The next prime is 1617952979. The reversal of 1617952968 is 8692597161.

It can be written as a sum of positive squares in 4 ways, for example, as 870368004 + 747584964 = 29502^2 + 27342^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1617952967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2125708 + ... + 2126468.

Almost surely, 2^1617952968 is an apocalyptic number.

1617952968 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 1617952968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414770380).

1617952968 is an abundant number, since it is smaller than the sum of its proper divisors (3211587792).

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

1617952968 is a wasteful number, since it uses less digits than its factorization.

1617952968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 976 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 1617952968 is about 40223.7860972833. The cubic root of 1617952968 is about 1173.9654011688.

The spelling of 1617952968 in words is "one billion, six hundred seventeen million, nine hundred fifty-two thousand, nine hundred sixty-eight".