261838896 has 160 divisors (see below), whose sum is σ = 807376896. Its totient is φ = 72192000.

The previous prime is 261838861. The next prime is 261838897. The reversal of 261838896 is 698838162.

261838896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (261838897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277786 + ... + 278726.

Almost surely, 2^261838896 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 261838896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403688448).

261838896 is an abundant number, since it is smaller than the sum of its proper divisors (545538000).

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

261838896 is a wasteful number, since it uses less digits than its factorization.

261838896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1005 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 261838896 is about 16181.4367718074. The cubic root of 261838896 is about 639.7516093386.

It can be divided in two parts, 2618 and 38896, that added together give a palindrome (41514).

The spelling of 261838896 in words is "two hundred sixty-one million, eight hundred thirty-eight thousand, eight hundred ninety-six".