261964968 has 32 divisors (see below), whose sum is σ = 693437760. Its totient is φ = 82184960.

The previous prime is 261964957. The next prime is 261964979. The reversal of 261964968 is 869469162.

261964968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (261964957) and next prime (261964979).

It is a super-3 number, since 3×261964968³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 261964968.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320628 + ... + 321443.

It is an arithmetic number, because the mean of its divisors is an integer number (21669930).

Almost surely, 2^261964968 is an apocalyptic number.

It is an amenable number.

261964968 is an abundant number, since it is smaller than the sum of its proper divisors (431472792).

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

261964968 is a wasteful number, since it uses less digits than its factorization.

261964968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642097 (or 642093 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 261964968 is about 16185.3318779690. The cubic root of 261964968 is about 639.8542702049.

The spelling of 261964968 in words is "two hundred sixty-one million, nine hundred sixty-four thousand, nine hundred sixty-eight".