561087520 has 96 divisors (see below), whose sum is σ = 1523225088. Its totient is φ = 191321088.

The previous prime is 561087517. The next prime is 561087523. The reversal of 561087520 is 25780165.

561087520 = T₁₂₀ + T₁₂₁ + ... + T₁₄₉₈.

It is an interprime number because it is at equal distance from previous prime (561087517) and next prime (561087523).

It is not an unprimeable number, because it can be changed into a prime (561087523) 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, 219369 + ... + 221911.

It is an arithmetic number, because the mean of its divisors is an integer number (15866928).

Almost surely, 2^561087520 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 561087520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761612544).

561087520 is an abundant number, since it is smaller than the sum of its proper divisors (962137568).

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

561087520 is a wasteful number, since it uses less digits than its factorization.

561087520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 561087520 is about 23687.2860412501. The cubic root of 561087520 is about 824.7902840070.

The spelling of 561087520 in words is "five hundred sixty-one million, eighty-seven thousand, five hundred twenty".