261269190 has 384 divisors, whose sum is σ = 930908160. Its totient is φ = 49268736.

The previous prime is 261269159. The next prime is 261269227. The reversal of 261269190 is 91962162.

It is a super-2 number, since 2×261269190² = 136523179286512200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3578994 + ... + 3579066.

It is an arithmetic number, because the mean of its divisors is an integer number (2424240).

Almost surely, 2^261269190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261269190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465454080).

261269190 is an abundant number, since it is smaller than the sum of its proper divisors (669638970).

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

261269190 is a wasteful number, since it uses less digits than its factorization.

261269190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 145 counting only the distinct ones).

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

The square root of 261269190 is about 16163.8234956956. The cubic root of 261269190 is about 639.2872844011.

The spelling of 261269190 in words is "two hundred sixty-one million, two hundred sixty-nine thousand, one hundred ninety".