1286962560 has 512 divisors, whose sum is σ = 5212771200. Its totient is φ = 297271296.

The previous prime is 1286962553. The next prime is 1286962561. The reversal of 1286962560 is 652696821.

1286962560 is a `hidden beast` number, since 1 + 2 + 86 + 9 + 6 + 2 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1286962561) 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, 3818712 + ... + 3819048.

Almost surely, 2^1286962560 is an apocalyptic number.

1286962560 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 1286962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606385600).

1286962560 is an abundant number, since it is smaller than the sum of its proper divisors (3925808640).

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

1286962560 is a wasteful number, since it uses less digits than its factorization.

1286962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1286962560 is about 35874.2604104949. The cubic root of 1286962560 is about 1087.7321644639.

The spelling of 1286962560 in words is "one billion, two hundred eighty-six million, nine hundred sixty-two thousand, five hundred sixty".