1617670656 has 320 divisors, whose sum is σ = 5571667200. Its totient is φ = 453869568.

The previous prime is 1617670633. The next prime is 1617670679. The reversal of 1617670656 is 6560767161.

It is an interprime number because it is at equal distance from previous prime (1617670633) and next prime (1617670679).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1617670656 = 375³ + 1161³ = 648³ + 1104³.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7063950 + ... + 7064178.

It is an arithmetic number, because the mean of its divisors is an integer number (17411460).

Almost surely, 2^1617670656 is an apocalyptic number.

1617670656 is a gapful number since it is divisible by the number (16) 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 1617670656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785833600).

1617670656 is an abundant number, since it is smaller than the sum of its proper divisors (3953996544).

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

1617670656 is an equidigital number, since it uses as much as digits as its factorization.

1617670656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 1617670656 is about 40220.2766773179. The cubic root of 1617670656 is about 1173.8971165719.

The spelling of 1617670656 in words is "one billion, six hundred seventeen million, six hundred seventy thousand, six hundred fifty-six".