1286434940 has 96 divisors (see below), whose sum is σ = 3137097600. Its totient is φ = 434036736.

The previous prime is 1286434889. The next prime is 1286434949. The reversal of 1286434940 is 494346821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1286434949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3685886 + ... + 3686234.

It is an arithmetic number, because the mean of its divisors is an integer number (32678100).

Almost surely, 2^1286434940 is an apocalyptic number.

1286434940 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 1286434940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568548800).

1286434940 is an abundant number, since it is smaller than the sum of its proper divisors (1850662660).

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

1286434940 is a wasteful number, since it uses less digits than its factorization.

1286434940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 1286434940 is about 35866.9059161785. The cubic root of 1286434940 is about 1087.5834971782.

The spelling of 1286434940 in words is "one billion, two hundred eighty-six million, four hundred thirty-four thousand, nine hundred forty".