561977328 has 80 divisors (see below), whose sum is σ = 1601683200. Its totient is φ = 168368640.

The previous prime is 561977321. The next prime is 561977329. The reversal of 561977328 is 823779165.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561977321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41013 + ... + 52971.

It is an arithmetic number, because the mean of its divisors is an integer number (20021040).

Almost surely, 2^561977328 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 561977328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800841600).

561977328 is an abundant number, since it is smaller than the sum of its proper divisors (1039705872).

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

561977328 is a wasteful number, since it uses less digits than its factorization.

561977328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12070 (or 12064 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The square root of 561977328 is about 23706.0609971374. The cubic root of 561977328 is about 825.2260552255.

The spelling of 561977328 in words is "five hundred sixty-one million, nine hundred seventy-seven thousand, three hundred twenty-eight".