1316165760 has 896 divisors, whose sum is σ = 5993487360. Its totient is φ = 268738560.

The previous prime is 1316165759. The next prime is 1316165771. The reversal of 1316165760 is 675616131.

1316165760 is a `hidden beast` number, since 1 + 31 + 616 + 5 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42456945 + ... + 42456975.

It is an arithmetic number, because the mean of its divisors is an integer number (6689160).

Almost surely, 2^1316165760 is an apocalyptic number.

1316165760 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 1316165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996743680).

1316165760 is an abundant number, since it is smaller than the sum of its proper divisors (4677321600).

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

1316165760 is an equidigital number, since it uses as much as digits as its factorization.

1316165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1316165760 is about 36278.9988836517. The cubic root of 1316165760 is about 1095.8981559512.

The spelling of 1316165760 in words is "one billion, three hundred sixteen million, one hundred sixty-five thousand, seven hundred sixty".