1295164080 has 300 divisors, whose sum is σ = 5233995360. Its totient is φ = 295964928.

The previous prime is 1295164067. The next prime is 1295164111. The reversal of 1295164080 is 804615921.

1295164080 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 1 + 640 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 315481 + ... + 319559.

Almost surely, 2^1295164080 is an apocalyptic number.

1295164080 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 1295164080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616997680).

1295164080 is an abundant number, since it is smaller than the sum of its proper divisors (3938831280).

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

1295164080 is a wasteful number, since it uses less digits than its factorization.

1295164080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1295164080 is about 35988.3881272835. The cubic root of 1295164080 is about 1090.0378967269.

The spelling of 1295164080 in words is "one billion, two hundred ninety-five million, one hundred sixty-four thousand, eighty".