1617616960 has 28 divisors (see below), whose sum is σ = 3851951148. Its totient is φ = 647046656.

The previous prime is 1617616937. The next prime is 1617616967. The reversal of 1617616960 is 696167161.

It can be written as a sum of positive squares in 2 ways, for example, as 484352064 + 1133264896 = 22008^2 + 33664^2 .

It is not an unprimeable number, because it can be changed into a prime (1617616967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2527207 + ... + 2527846.

Almost surely, 2^1617616960 is an apocalyptic number.

1617616960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1617616960 is an abundant number, since it is smaller than the sum of its proper divisors (2234334188).

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

1617616960 is an equidigital number, since it uses as much as digits as its factorization.

1617616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055070 (or 5055060 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 1617616960 is about 40219.6091477777. The cubic root of 1617616960 is about 1173.8841278800.

The spelling of 1617616960 in words is "one billion, six hundred seventeen million, six hundred sixteen thousand, nine hundred sixty".