261806832 has 120 divisors (see below), whose sum is σ = 842624640. Its totient is φ = 74332800.

The previous prime is 261806821. The next prime is 261806843. The reversal of 261806832 is 238608162.

261806832 is a `hidden beast` number, since 2 + 618 + 0 + 6 + 8 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (261806821) and next prime (261806843).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179707 + ... + 181157.

It is an arithmetic number, because the mean of its divisors is an integer number (7021872).

Almost surely, 2^261806832 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 261806832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421312320).

261806832 is an abundant number, since it is smaller than the sum of its proper divisors (580817808).

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

261806832 is a wasteful number, since it uses less digits than its factorization.

261806832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1642 counting only the distinct ones).

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

The square root of 261806832 is about 16180.4459765484. The cubic root of 261806832 is about 639.7254942563.

The spelling of 261806832 in words is "two hundred sixty-one million, eight hundred six thousand, eight hundred thirty-two".