261232776 has 176 divisors, whose sum is σ = 850300800. Its totient is φ = 73693152.

The previous prime is 261232759. The next prime is 261232787. The reversal of 261232776 is 677232162.

It is a happy number.

261232776 is a `hidden beast` number, since 2 + 612 + 32 + 7 + 7 + 6 = 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 a self number, because there is not a number n which added to its sum of digits gives 261232776.

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 43 ways as a sum of consecutive naturals, for example, 3306705 + ... + 3306783.

Almost surely, 2^261232776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261232776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425150400).

261232776 is an abundant number, since it is smaller than the sum of its proper divisors (589068024).

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

261232776 is an frugal number, since it uses more digits than its factorization.

261232776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 91 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 261232776 is about 16162.6970521630. The cubic root of 261232776 is about 639.2575831203.

The spelling of 261232776 in words is "two hundred sixty-one million, two hundred thirty-two thousand, seven hundred seventy-six".