261883650 has 96 divisors (see below), whose sum is σ = 781378560. Its totient is φ = 56704320.

The previous prime is 261883639. The next prime is 261883697. The reversal of 261883650 is 56388162.

It is a happy number.

It is a super-2 number, since 2×261883650² = 137166092274645000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 261883599 and 261883608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13387 + ... + 26513.

It is an arithmetic number, because the mean of its divisors is an integer number (8139360).

Almost surely, 2^261883650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261883650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390689280).

261883650 is an abundant number, since it is smaller than the sum of its proper divisors (519494910).

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

261883650 is a wasteful number, since it uses less digits than its factorization.

261883650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13168 (or 13163 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 261883650 is about 16182.8195936308. The cubic root of 261883650 is about 639.7880564477.

It can be divided in two parts, 2618 and 83650, that added together give a palindrome (86268).

The spelling of 261883650 in words is "two hundred sixty-one million, eight hundred eighty-three thousand, six hundred fifty".