261650600 has 48 divisors (see below), whose sum is σ = 614408220. Its totient is φ = 103616000.

The previous prime is 261650593. The next prime is 261650603. The reversal of 261650600 is 6056162.

261650600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 108534724 + 153115876 = 10418^2 + 12374^2 .

It is a super-2 number, since 2×261650600² = 136922072960720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 261650600.

It is not an unprimeable number, because it can be changed into a prime (261650603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13724 + ... + 26676.

Almost surely, 2^261650600 is an apocalyptic number.

261650600 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 261650600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307204110).

261650600 is an abundant number, since it is smaller than the sum of its proper divisors (352757620).

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

261650600 is a wasteful number, since it uses less digits than its factorization.

261650600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13070 (or 13061 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 261650600 is about 16175.6174534390. The cubic root of 261650600 is about 639.5982178722.

The spelling of 261650600 in words is "two hundred sixty-one million, six hundred fifty thousand, six hundred".