261247200 has 144 divisors (see below), whose sum is σ = 856195200. Its totient is φ = 69189120.

The previous prime is 261247183. The next prime is 261247237. The reversal of 261247200 is 2742162.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477327 + ... + 477873.

It is an arithmetic number, because the mean of its divisors is an integer number (5945800).

Almost surely, 2^261247200 is an apocalyptic number.

261247200 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 261247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428097600).

261247200 is an abundant number, since it is smaller than the sum of its proper divisors (594948000).

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

261247200 is a wasteful number, since it uses less digits than its factorization.

261247200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 261247200 is about 16163.1432586610. The cubic root of 261247200 is about 639.2693484659.

Adding to 261247200 its reverse (2742162), we get a palindrome (263989362).

The spelling of 261247200 in words is "two hundred sixty-one million, two hundred forty-seven thousand, two hundred".