1275980160 has 512 divisors, whose sum is σ = 5127091200. Its totient is φ = 262766592.

The previous prime is 1275980159. The next prime is 1275980161. The reversal of 1275980160 is 610895721.

It is an interprime number because it is at equal distance from previous prime (1275980159) and next prime (1275980161).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1275980161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11706186 + ... + 11706294.

It is an arithmetic number, because the mean of its divisors is an integer number (10013850).

Almost surely, 2^1275980160 is an apocalyptic number.

1275980160 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 1275980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563545600).

1275980160 is an abundant number, since it is smaller than the sum of its proper divisors (3851111040).

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

1275980160 is a wasteful number, since it uses less digits than its factorization.

1275980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 1275980160 is about 35720.8644912186. The cubic root of 1275980160 is about 1084.6292375723.

The spelling of 1275980160 in words is "one billion, two hundred seventy-five million, nine hundred eighty thousand, one hundred sixty".