1286615760 has 160 divisors (see below), whose sum is σ = 4267976832. Its totient is φ = 319488000.

The previous prime is 1286615747. The next prime is 1286615783. The reversal of 1286615760 is 675166821.

It is a super-2 number, since 2×1286615760² = 3310760227760755200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394135 + ... + 397385.

Almost surely, 2^1286615760 is an apocalyptic number.

1286615760 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 1286615760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133988416).

1286615760 is an abundant number, since it is smaller than the sum of its proper divisors (2981361072).

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

1286615760 is a wasteful number, since it uses less digits than its factorization.

1286615760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1286615760 is about 35869.4265357003. The cubic root of 1286615760 is about 1087.6344513381.

It can be divided in two parts, 128661 and 5760, that added together give a triangular number (134421 = T₅₁₈).

The spelling of 1286615760 in words is "one billion, two hundred eighty-six million, six hundred fifteen thousand, seven hundred sixty".