1617470880 has 192 divisors, whose sum is σ = 5336948736. Its totient is φ = 411264000.

The previous prime is 1617470851. The next prime is 1617470887. The reversal of 1617470880 is 880747161.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1617470887) by changing a digit.

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, 1055715 + ... + 1057245.

It is an arithmetic number, because the mean of its divisors is an integer number (27796608).

Almost surely, 2^1617470880 is an apocalyptic number.

1617470880 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 1617470880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668474368).

1617470880 is an abundant number, since it is smaller than the sum of its proper divisors (3719477856).

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

1617470880 is a wasteful number, since it uses less digits than its factorization.

1617470880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 1617470880 is about 40217.7930771941. The cubic root of 1617470880 is about 1173.8487906814.

The spelling of 1617470880 in words is "one billion, six hundred seventeen million, four hundred seventy thousand, eight hundred eighty".