1315977840 has 200 divisors, whose sum is σ = 4592304288. Its totient is φ = 349263360.

The previous prime is 1315977811. The next prime is 1315977841. The reversal of 1315977840 is 487795131.

1315977840 is a `hidden beast` number, since 13 + 1 + 597 + 7 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315977841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2014954 + ... + 2015606.

Almost surely, 2^1315977840 is an apocalyptic number.

1315977840 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 1315977840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296152144).

1315977840 is an abundant number, since it is smaller than the sum of its proper divisors (3276326448).

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

1315977840 is a wasteful number, since it uses less digits than its factorization.

1315977840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1315977840 is about 36276.4088630614. The cubic root of 1315977840 is about 1095.8459966184.

The spelling of 1315977840 in words is "one billion, three hundred fifteen million, nine hundred seventy-seven thousand, eight hundred forty".