1315688640 has 112 divisors (see below), whose sum is σ = 4774094592. Its totient is φ = 300727296.

The previous prime is 1315688623. The next prime is 1315688641. The reversal of 1315688640 is 468865131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1315688592 and 1315688601.

It is not an unprimeable number, because it can be changed into a prime (1315688641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91174 + ... + 104613.

Almost surely, 2^1315688640 is an apocalyptic number.

1315688640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1315688640 is an abundant number, since it is smaller than the sum of its proper divisors (3458405952).

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

1315688640 is a wasteful number, since it uses less digits than its factorization.

1315688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195814 (or 195804 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1315688640 is about 36272.4225824524. The cubic root of 1315688640 is about 1095.7657161682.

The spelling of 1315688640 in words is "one billion, three hundred fifteen million, six hundred eighty-eight thousand, six hundred forty".