1617960960 has 896 divisors, whose sum is σ = 7549286400. Its totient is φ = 318504960.

The previous prime is 1617960937. The next prime is 1617960989. The reversal of 1617960960 is 690697161.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85155831 + ... + 85155849.

Almost surely, 2^1617960960 is an apocalyptic number.

1617960960 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 1617960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774643200).

1617960960 is an abundant number, since it is smaller than the sum of its proper divisors (5931325440).

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

1617960960 is a wasteful number, since it uses less digits than its factorization.

1617960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1617960960 is about 40223.8854413643. The cubic root of 1617960960 is about 1173.9673341290.

The spelling of 1617960960 in words is "one billion, six hundred seventeen million, nine hundred sixty thousand, nine hundred sixty".