261526020 has 96 divisors (see below), whose sum is σ = 843644928. Its totient is φ = 59294592.

The previous prime is 261526007. The next prime is 261526037. The reversal of 261526020 is 20625162.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50889 + ... + 55791.

It is an arithmetic number, because the mean of its divisors is an integer number (8787968).

Almost surely, 2^261526020 is an apocalyptic number.

261526020 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 261526020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421822464).

261526020 is an abundant number, since it is smaller than the sum of its proper divisors (582118908).

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

261526020 is a wasteful number, since it uses less digits than its factorization.

261526020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5049 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 261526020 is about 16171.7661373147. The cubic root of 261526020 is about 639.4966908797.

The spelling of 261526020 in words is "two hundred sixty-one million, five hundred twenty-six thousand, twenty".