561239040 has 176 divisors, whose sum is σ = 1827561600. Its totient is φ = 146964480.

The previous prime is 561239033. The next prime is 561239099. The reversal of 561239040 is 40932165.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 561238989 and 561239007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936661 + ... + 937259.

Almost surely, 2^561239040 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 561239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913780800).

561239040 is an abundant number, since it is smaller than the sum of its proper divisors (1266322560).

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

561239040 is a wasteful number, since it uses less digits than its factorization.

561239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 561239040 is about 23690.4841655885. The cubic root of 561239040 is about 824.8645213714.

The spelling of 561239040 in words is "five hundred sixty-one million, two hundred thirty-nine thousand, forty".