261677260 has 96 divisors (see below), whose sum is σ = 635971392. Its totient is φ = 89579520.

The previous prime is 261677257. The next prime is 261677287. The reversal of 261677260 is 62776162.

261677260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×261677260² = 136949976802215200, which contains 22 as substring.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322255 + ... + 323065.

It is an arithmetic number, because the mean of its divisors is an integer number (6624702).

Almost surely, 2^261677260 is an apocalyptic number.

261677260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261677260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317985696).

261677260 is an abundant number, since it is smaller than the sum of its proper divisors (374294132).

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

261677260 is a wasteful number, since it uses less digits than its factorization.

261677260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 261677260 is about 16176.4415122733. The cubic root of 261677260 is about 639.6199403645.

The spelling of 261677260 in words is "two hundred sixty-one million, six hundred seventy-seven thousand, two hundred sixty".