261528 has 32 divisors (see below), whose sum is σ = 693360. Its totient is φ = 81920.

The previous prime is 261523. The next prime is 261529. The reversal of 261528 is 825162.

261528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 261498 and 261507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261523) by changing a digit.

261528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88 + ... + 728.

2²⁶¹⁵²⁸ 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 261528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346680).

261528 is an abundant number, since it is smaller than the sum of its proper divisors (431832).

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

261528 is a wasteful number, since it uses less digits than its factorization.

261528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 261528 is about 511.3980836882. The cubic root of 261528 is about 63.9498304741.

The spelling of 261528 in words is "two hundred sixty-one thousand, five hundred twenty-eight".