1297906560 has 384 divisors, whose sum is σ = 4771690560. Its totient is φ = 324403200.

The previous prime is 1297906553. The next prime is 1297906591. The reversal of 1297906560 is 656097921.

It is a happy number.

1297906560 is a `hidden beast` number, since 12 + 9 + 79 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1297906560² = 3369122876982067200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12850510 + ... + 12850610.

Almost surely, 2^1297906560 is an apocalyptic number.

1297906560 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 1297906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385845280).

1297906560 is an abundant number, since it is smaller than the sum of its proper divisors (3473784000).

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

1297906560 is a wasteful number, since it uses less digits than its factorization.

1297906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1297906560 is about 36026.4702684013. The cubic root of 1297906560 is about 1090.8067310019.

It can be divided in two parts, 1297906 and 560, that added together give a triangular number (1298466 = T₁₆₁₁).

The spelling of 1297906560 in words is "one billion, two hundred ninety-seven million, nine hundred six thousand, five hundred sixty".