561111408 has 320 divisors, whose sum is σ = 1959874560. Its totient is φ = 151372800.

The previous prime is 561111391. The next prime is 561111413. The reversal of 561111408 is 804111165.

561111408 is a `hidden beast` number, since 5 + 611 + 1 + 1 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1914910 + ... + 1915202.

It is an arithmetic number, because the mean of its divisors is an integer number (6124608).

Almost surely, 2^561111408 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 561111408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979937280).

561111408 is an abundant number, since it is smaller than the sum of its proper divisors (1398763152).

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

561111408 is a wasteful number, since it uses less digits than its factorization.

561111408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 561111408 is about 23687.7902726278. The cubic root of 561111408 is about 824.8019888421.

The spelling of 561111408 in words is "five hundred sixty-one million, one hundred eleven thousand, four hundred eight".