1261464192 has 240 divisors, whose sum is σ = 3997388670. Its totient is φ = 394813440.

The previous prime is 1261464151. The next prime is 1261464229. The reversal of 1261464192 is 2914641621.

1261464192 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 4 + 641 + 9 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1017354816 + 244109376 = 31896^2 + 15624^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2996142 + ... + 2996562.

Almost surely, 2^1261464192 is an apocalyptic number.

1261464192 is a gapful number since it is divisible by the number (12) 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 1261464192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998694335).

1261464192 is an abundant number, since it is smaller than the sum of its proper divisors (2735924478).

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

1261464192 is an equidigital number, since it uses as much as digits as its factorization.

1261464192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 443 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1261464192 is about 35517.0971786828. The cubic root of 1261464192 is about 1080.5005087521.

The spelling of 1261464192 in words is "one billion, two hundred sixty-one million, four hundred sixty-four thousand, one hundred ninety-two".