1617046560 has 288 divisors, whose sum is σ = 5758225200. Its totient is φ = 412876800.

The previous prime is 1617046559. The next prime is 1617046567. The reversal of 1617046560 is 656407161.

It can be written as a sum of positive squares in 8 ways, for example, as 55532304 + 1561514256 = 7452^2 + 39516^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1617046560² = 5229679154415667200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1617046567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3601216 + ... + 3601664.

Almost surely, 2^1617046560 is an apocalyptic number.

1617046560 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 1617046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879112600).

1617046560 is an abundant number, since it is smaller than the sum of its proper divisors (4141178640).

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

1617046560 is a wasteful number, since it uses less digits than its factorization.

1617046560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1617046560 is about 40212.5174541460. The cubic root of 1617046560 is about 1173.7461343087.

The spelling of 1617046560 in words is "one billion, six hundred seventeen million, forty-six thousand, five hundred sixty".