1286904960 has 384 divisors, whose sum is σ = 5107752000. Its totient is φ = 295280640.

The previous prime is 1286904911. The next prime is 1286905001. The reversal of 1286904960 is 694096821.

It is a happy number.

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

It is a super-2 number, since 2×1286904960² = 3312248752145203200, which contains 22 as substring.

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

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, 1203306 + ... + 1204374.

Almost surely, 2^1286904960 is an apocalyptic number.

1286904960 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 1286904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553876000).

1286904960 is an abundant number, since it is smaller than the sum of its proper divisors (3820847040).

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

1286904960 is a wasteful number, since it uses less digits than its factorization.

1286904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1286904960 is about 35873.4575975052. The cubic root of 1286904960 is about 1087.7159365099.

The spelling of 1286904960 in words is "one billion, two hundred eighty-six million, nine hundred four thousand, nine hundred sixty".