261619092 has 96 divisors (see below), whose sum is σ = 801964800. Its totient is φ = 72164736.

The previous prime is 261619091. The next prime is 261619093. The reversal of 261619092 is 290916162.

It is an interprime number because it is at equal distance from previous prime (261619091) and next prime (261619093).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261619091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15958 + ... + 27890.

It is an arithmetic number, because the mean of its divisors is an integer number (8353800).

Almost surely, 2^261619092 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 261619092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

261619092 is an abundant number, since it is smaller than the sum of its proper divisors (540345708).

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

261619092 is a wasteful number, since it uses less digits than its factorization.

261619092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11982 (or 11974 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 261619092 is about 16174.6434891159. The cubic root of 261619092 is about 639.5725433409.

It can be divided in two parts, 26161 and 9092, that added together give a palindrome (35253).

The spelling of 261619092 in words is "two hundred sixty-one million, six hundred nineteen thousand, ninety-two".