261533376 has 168 divisors, whose sum is σ = 823782960. Its totient is φ = 78833664.

The previous prime is 261533357. The next prime is 261533381. The reversal of 261533376 is 673335162.

261533376 is a `hidden beast` number, since 2 + 615 + 3 + 3 + 37 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 261533376.

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, 396535 + ... + 397193.

It is an arithmetic number, because the mean of its divisors is an integer number (4903470).

Almost surely, 2^261533376 is an apocalyptic number.

261533376 is a gapful number since it is divisible by the number (26) 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 261533376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411891480).

261533376 is an abundant number, since it is smaller than the sum of its proper divisors (562249584).

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

261533376 is a wasteful number, since it uses less digits than its factorization.

261533376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 730 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 261533376 is about 16171.9935691306. The cubic root of 261533376 is about 639.5026865783.

The spelling of 261533376 in words is "two hundred sixty-one million, five hundred thirty-three thousand, three hundred seventy-six".