561178624 has 48 divisors (see below), whose sum is σ = 1133610660. Its totient is φ = 277708800.

The previous prime is 561178621. The next prime is 561178627. The reversal of 561178624 is 426871165.

It is an interprime number because it is at equal distance from previous prime (561178621) and next prime (561178627).

It can be written as a sum of positive squares in 2 ways, for example, as 367412224 + 193766400 = 19168^2 + 13920^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561178621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 205492 + ... + 208204.

Almost surely, 2^561178624 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 561178624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566805330).

561178624 is an abundant number, since it is smaller than the sum of its proper divisors (572432036).

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

561178624 is a wasteful number, since it uses less digits than its factorization.

561178624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2816 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 561178624 is about 23689.2090201425. The cubic root of 561178624 is about 824.8349220981.

The spelling of 561178624 in words is "five hundred sixty-one million, one hundred seventy-eight thousand, six hundred twenty-four".