1261238832 has 180 divisors, whose sum is σ = 4217843136. Its totient is φ = 350542080.

The previous prime is 1261238801. The next prime is 1261238837. The reversal of 1261238832 is 2388321621.

1261238832 is a `hidden beast` number, since 1 + 2 + 612 + 3 + 8 + 8 + 32 = 666.

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 not an unprimeable number, because it can be changed into a prime (1261238837) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 258657 + ... + 263487.

Almost surely, 2^1261238832 is an apocalyptic number.

1261238832 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 1261238832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108921568).

1261238832 is an abundant number, since it is smaller than the sum of its proper divisors (2956604304).

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

1261238832 is a wasteful number, since it uses less digits than its factorization.

1261238832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 4880 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1261238832 is about 35513.9244804063. The cubic root of 1261238832 is about 1080.4361612798.

The spelling of 1261238832 in words is "one billion, two hundred sixty-one million, two hundred thirty-eight thousand, eight hundred thirty-two".