1261876224 has 264 divisors, whose sum is σ = 3998822688. Its totient is φ = 352665600.

The previous prime is 1261876207. The next prime is 1261876277. The reversal of 1261876224 is 4226781621.

It is a super-3 number, since 3×1261876224³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

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, 12493774 + ... + 12493874.

Almost surely, 2^1261876224 is an apocalyptic number.

1261876224 is a gapful number since it is divisible by the number (14) 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 1261876224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999411344).

1261876224 is an abundant number, since it is smaller than the sum of its proper divisors (2736946464).

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

1261876224 is a wasteful number, since it uses less digits than its factorization.

1261876224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 1261876224 is about 35522.8971791435. The cubic root of 1261876224 is about 1080.6181372258.

The spelling of 1261876224 in words is "one billion, two hundred sixty-one million, eight hundred seventy-six thousand, two hundred twenty-four".