1297141560 has 512 divisors, whose sum is σ = 5239987200. Its totient is φ = 281180160.

The previous prime is 1297141553. The next prime is 1297141589. The reversal of 1297141560 is 651417921.

1297141560 is a `hidden beast` number, since 1 + 2 + 97 + 1 + 4 + 1 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5714167 + ... + 5714393.

It is an arithmetic number, because the mean of its divisors is an integer number (10234350).

Almost surely, 2^1297141560 is an apocalyptic number.

1297141560 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 1297141560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619993600).

1297141560 is an abundant number, since it is smaller than the sum of its proper divisors (3942845640).

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

1297141560 is a wasteful number, since it uses less digits than its factorization.

1297141560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1297141560 is about 36015.8515101337. The cubic root of 1297141560 is about 1090.5923778334.

The spelling of 1297141560 in words is "one billion, two hundred ninety-seven million, one hundred forty-one thousand, five hundred sixty".