261553200 has 240 divisors, whose sum is σ = 885657600. Its totient is φ = 65894400.

The previous prime is 261553181. The next prime is 261553207. The reversal of 261553200 is 2355162.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (261553207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2938756 + ... + 2938844.

It is an arithmetic number, because the mean of its divisors is an integer number (3690240).

Almost surely, 2^261553200 is an apocalyptic number.

261553200 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 261553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442828800).

261553200 is an abundant number, since it is smaller than the sum of its proper divisors (624104400).

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

261553200 is a wasteful number, since it uses less digits than its factorization.

261553200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 261553200 is about 16172.6064689647. The cubic root of 261553200 is about 639.5188440839.

The spelling of 261553200 in words is "two hundred sixty-one million, five hundred fifty-three thousand, two hundred".