1617292960 has 96 divisors (see below), whose sum is σ = 4056272640. Its totient is φ = 607260672.

The previous prime is 1617292927. The next prime is 1617292961. The reversal of 1617292960 is 692927161.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1617292961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1759381 + ... + 1760299.

It is an arithmetic number, because the mean of its divisors is an integer number (42252840).

Almost surely, 2^1617292960 is an apocalyptic number.

1617292960 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 1617292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028136320).

1617292960 is an abundant number, since it is smaller than the sum of its proper divisors (2438979680).

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

1617292960 is a wasteful number, since it uses less digits than its factorization.

1617292960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1590 counting only the distinct ones).

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

The square root of 1617292960 is about 40215.5810600817. The cubic root of 1617292960 is about 1173.8057484155.

The spelling of 1617292960 in words is "one billion, six hundred seventeen million, two hundred ninety-two thousand, nine hundred sixty".