1031664560 has 80 divisors (see below), whose sum is σ = 2523722400. Its totient is φ = 391630848.

The previous prime is 1031664559. The next prime is 1031664587. The reversal of 1031664560 is 654661301.

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, 133112 + ... + 140648.

It is an arithmetic number, because the mean of its divisors is an integer number (31546530).

Almost surely, 2^1031664560 is an apocalyptic number.

1031664560 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 1031664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261861200).

1031664560 is an abundant number, since it is smaller than the sum of its proper divisors (1492057840).

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

1031664560 is a wasteful number, since it uses less digits than its factorization.

1031664560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7638 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 1031664560 is about 32119.5354885465. The cubic root of 1031664560 is about 1010.4453677430.

The spelling of 1031664560 in words is "one billion, thirty-one million, six hundred sixty-four thousand, five hundred sixty".