1312951680 has 640 divisors, whose sum is σ = 5213260800. Its totient is φ = 313528320.

The previous prime is 1312951583. The next prime is 1312951681. The reversal of 1312951680 is 861592131.

1312951680 is a `hidden beast` number, since 13 + 129 + 516 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1312951680² = 3447684228029644800, 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 not an unprimeable number, because it can be changed into a prime (1312951681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30533739 + ... + 30533781.

It is an arithmetic number, because the mean of its divisors is an integer number (8145720).

Almost surely, 2^1312951680 is an apocalyptic number.

1312951680 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 1312951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606630400).

1312951680 is an abundant number, since it is smaller than the sum of its proper divisors (3900309120).

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

1312951680 is a wasteful number, since it uses less digits than its factorization.

1312951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1312951680 is about 36234.6751054842. The cubic root of 1312951680 is about 1095.0053668343.

The spelling of 1312951680 in words is "one billion, three hundred twelve million, nine hundred fifty-one thousand, six hundred eighty".