1262116656 has 120 divisors (see below), whose sum is σ = 3677197680. Its totient is φ = 403619328.

The previous prime is 1262116643. The next prime is 1262116663. The reversal of 1262116656 is 6566112621.

1262116656 is a `hidden beast` number, since 12 + 621 + 16 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1262116656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721575 + ... + 723321.

It is an arithmetic number, because the mean of its divisors is an integer number (30643314).

Almost surely, 2^1262116656 is an apocalyptic number.

1262116656 is a gapful number since it is divisible by the number (16) 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 1262116656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838598840).

1262116656 is an abundant number, since it is smaller than the sum of its proper divisors (2415081024).

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

1262116656 is a wasteful number, since it uses less digits than its factorization.

1262116656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1954 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1262116656 is about 35526.2812013867. The cubic root of 1262116656 is about 1080.6867648443.

The spelling of 1262116656 in words is "one billion, two hundred sixty-two million, one hundred sixteen thousand, six hundred fifty-six".