561049632 has 384 divisors, whose sum is σ = 2032128000. Its totient is φ = 148055040.

The previous prime is 561049609. The next prime is 561049663. The reversal of 561049632 is 236940165.

It is a happy number.

561049632 is a `hidden beast` number, since 5 + 6 + 10 + 4 + 9 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2347369 + ... + 2347607.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2^561049632 is an apocalyptic number.

561049632 is a gapful number since it is divisible by the number (52) 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 561049632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064000).

561049632 is an abundant number, since it is smaller than the sum of its proper divisors (1471078368).

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

561049632 is a wasteful number, since it uses less digits than its factorization.

561049632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 561049632 is about 23686.4862738229. The cubic root of 561049632 is about 824.7717186575.

Adding to 561049632 its reverse (236940165), we get a palindrome (797989797).

The spelling of 561049632 in words is "five hundred sixty-one million, forty-nine thousand, six hundred thirty-two".