1017468560 has 80 divisors (see below), whose sum is σ = 2421045936. Its totient is φ = 397522944.

The previous prime is 1017468539. The next prime is 1017468607. The reversal of 1017468560 is 658647101.

It can be written as a sum of positive squares in 8 ways, for example, as 29246464 + 988222096 = 5408^2 + 31436^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1343702 + ... + 1344458.

Almost surely, 2^1017468560 is an apocalyptic number.

1017468560 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 1017468560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210522968).

1017468560 is an abundant number, since it is smaller than the sum of its proper divisors (1403577376).

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

1017468560 is a wasteful number, since it uses less digits than its factorization.

1017468560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 1017468560 is about 31897.7829950610. The cubic root of 1017468560 is about 1005.7892729746.

The spelling of 1017468560 in words is "one billion, seventeen million, four hundred sixty-eight thousand, five hundred sixty".