261976008 has 64 divisors (see below), whose sum is σ = 758016000. Its totient is φ = 73899072.

The previous prime is 261976007. The next prime is 261976051. The reversal of 261976008 is 800679162.

It is not an unprimeable number, because it can be changed into a prime (261976007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3403 + ... + 23141.

It is an arithmetic number, because the mean of its divisors is an integer number (11844000).

Almost surely, 2^261976008 is an apocalyptic number.

261976008 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 261976008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379008000).

261976008 is an abundant number, since it is smaller than the sum of its proper divisors (496039992).

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

261976008 is a wasteful number, since it uses less digits than its factorization.

261976008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19834 (or 19830 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 261976008 is about 16185.6729239164. The cubic root of 261976008 is about 639.8632585465.

The spelling of 261976008 in words is "two hundred sixty-one million, nine hundred seventy-six thousand, eight".