261532908 has 288 divisors, whose sum is σ = 885427200. Its totient is φ = 65235456.

The previous prime is 261532907. The next prime is 261532927. The reversal of 261532908 is 809235162.

261532908 is a `hidden beast` number, since 2 + 615 + 32 + 9 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (261532907) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2938528 + ... + 2938616.

It is an arithmetic number, because the mean of its divisors is an integer number (3074400).

Almost surely, 2^261532908 is an apocalyptic number.

261532908 is a gapful number since it is divisible by the number (28) 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 261532908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442713600).

261532908 is an abundant number, since it is smaller than the sum of its proper divisors (623894292).

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

261532908 is a wasteful number, since it uses less digits than its factorization.

261532908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 261532908 is about 16171.9790996650. The cubic root of 261532908 is about 639.5023051261.

The spelling of 261532908 in words is "two hundred sixty-one million, five hundred thirty-two thousand, nine hundred eight".