261600000 has 216 divisors, whose sum is σ = 878225040. Its totient is φ = 69120000.

The previous prime is 261599983. The next prime is 261600007. The reversal of 261600000 is 6162.

261600000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261600007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2399946 + ... + 2400054.

Almost surely, 2^261600000 is an apocalyptic number.

261600000 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 261600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439112520).

261600000 is an abundant number, since it is smaller than the sum of its proper divisors (616625040).

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

261600000 is an frugal number, since it uses more digits than its factorization.

261600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 261600000 is about 16174.0532953246. The cubic root of 261600000 is about 639.5569850777.

Adding to 261600000 its reverse (6162), we get a palindrome (261606162).

The spelling of 261600000 in words is "two hundred sixty-one million, six hundred thousand".