261214608 has 80 divisors (see below), whose sum is σ = 695080512. Its totient is φ = 84480000.

The previous prime is 261214589. The next prime is 261214621. The reversal of 261214608 is 806412162.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651208 + ... + 651608.

Almost surely, 2^261214608 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 261214608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347540256).

261214608 is an abundant number, since it is smaller than the sum of its proper divisors (433865904).

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

261214608 is a wasteful number, since it uses less digits than its factorization.

261214608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 261214608 is about 16162.1350074797. The cubic root of 261214608 is about 639.2427632583.

The spelling of 261214608 in words is "two hundred sixty-one million, two hundred fourteen thousand, six hundred eight".