1295536680 has 320 divisors, whose sum is σ = 4726434240. Its totient is φ = 317011968.

The previous prime is 1295536651. The next prime is 1295536681. The reversal of 1295536680 is 866355921.

1295536680 is a `hidden beast` number, since 12 + 9 + 553 + 6 + 6 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1295536681) 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, 2368167 + ... + 2368713.

It is an arithmetic number, because the mean of its divisors is an integer number (14770107).

Almost surely, 2^1295536680 is an apocalyptic number.

1295536680 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 1295536680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363217120).

1295536680 is an abundant number, since it is smaller than the sum of its proper divisors (3430897560).

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

1295536680 is a wasteful number, since it uses less digits than its factorization.

1295536680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1295536680 is about 35993.5644247690. The cubic root of 1295536680 is about 1090.1424160912.

The spelling of 1295536680 in words is "one billion, two hundred ninety-five million, five hundred thirty-six thousand, six hundred eighty".