261956968 has 64 divisors (see below), whose sum is σ = 606533760. Its totient is φ = 103286016.

The previous prime is 261956941. The next prime is 261956983. The reversal of 261956968 is 869659162.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427030 + ... + 427642.

It is an arithmetic number, because the mean of its divisors is an integer number (9477090).

Almost surely, 2^261956968 is an apocalyptic number.

261956968 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 261956968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303266880).

261956968 is an abundant number, since it is smaller than the sum of its proper divisors (344576792).

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

261956968 is a wasteful number, since it uses less digits than its factorization.

261956968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1222 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 52.

The square root of 261956968 is about 16185.0847387340. The cubic root of 261956968 is about 639.8477567560.

The spelling of 261956968 in words is "two hundred sixty-one million, nine hundred fifty-six thousand, nine hundred sixty-eight".