1005600960 has 448 divisors, whose sum is σ = 4369612800. Its totient is φ = 212004864.

The previous prime is 1005600889. The next prime is 1005600977. The reversal of 1005600960 is 690065001.

1005600960 is a `hidden beast` number, since 10 + 0 + 560 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1005600960² = 2022466581505843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785601 + ... + 786879.

It is an arithmetic number, because the mean of its divisors is an integer number (9753600).

Almost surely, 2^1005600960 is an apocalyptic number.

1005600960 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 1005600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184806400).

1005600960 is an abundant number, since it is smaller than the sum of its proper divisors (3364011840).

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

1005600960 is a wasteful number, since it uses less digits than its factorization.

1005600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1005600960 is about 31711.2118973716. The cubic root of 1005600960 is about 1001.8635118332.

Adding to 1005600960 its reverse (690065001), we get a palindrome (1695665961).

The spelling of 1005600960 in words is "one billion, five million, six hundred thousand, nine hundred sixty".