261264192 has 112 divisors (see below), whose sum is σ = 793699200. Its totient is φ = 74299392.

The previous prime is 261264191. The next prime is 261264197. The reversal of 261264192 is 291462162.

261264192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261264191) 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, 468778 + ... + 469334.

It is an arithmetic number, because the mean of its divisors is an integer number (7086600).

Almost surely, 2^261264192 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 261264192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396849600).

261264192 is an abundant number, since it is smaller than the sum of its proper divisors (532435008).

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

261264192 is a wasteful number, since it uses less digits than its factorization.

261264192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 918 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 261264192 is about 16163.6688904469. The cubic root of 261264192 is about 639.2832079181.

The spelling of 261264192 in words is "two hundred sixty-one million, two hundred sixty-four thousand, one hundred ninety-two".