1315147680 has 576 divisors, whose sum is σ = 5802451200. Its totient is φ = 263208960.

The previous prime is 1315147667. The next prime is 1315147759. The reversal of 1315147680 is 867415131.

1315147680 is a `hidden beast` number, since 131 + 51 + 476 + 8 + 0 = 666.

It is a super-2 number, since 2×1315147680² = 3459226840418764800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3215316 + ... + 3215724.

It is an arithmetic number, because the mean of its divisors is an integer number (10073700).

Almost surely, 2^1315147680 is an apocalyptic number.

1315147680 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 1315147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901225600).

1315147680 is an abundant number, since it is smaller than the sum of its proper divisors (4487303520).

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

1315147680 is a wasteful number, since it uses less digits than its factorization.

1315147680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1315147680 is about 36264.9649110543. The cubic root of 1315147680 is about 1095.6155168320.

The spelling of 1315147680 in words is "one billion, three hundred fifteen million, one hundred forty-seven thousand, six hundred eighty".