261210528 has 96 divisors (see below), whose sum is σ = 782550720. Its totient is φ = 84706560.

The previous prime is 261210503. The next prime is 261210529. The reversal of 261210528 is 825012162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (261210529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27883 + ... + 36053.

It is an arithmetic number, because the mean of its divisors is an integer number (8151570).

Almost surely, 2^261210528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261210528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391275360).

261210528 is an abundant number, since it is smaller than the sum of its proper divisors (521340192).

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

261210528 is a wasteful number, since it uses less digits than its factorization.

261210528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8227 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 261210528 is about 16162.0087860389. The cubic root of 261210528 is about 639.2394350575.

The spelling of 261210528 in words is "two hundred sixty-one million, two hundred ten thousand, five hundred twenty-eight".