561648384 has 288 divisors, whose sum is σ = 1854316800. Its totient is φ = 166256640.

The previous prime is 561648383. The next prime is 561648389. The reversal of 561648384 is 483846165.

561648384 is a `hidden beast` number, since 561 + 6 + 4 + 8 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×561648384² = 630897814499622912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (561648383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6310612 + ... + 6310700.

It is an arithmetic number, because the mean of its divisors is an integer number (6438600).

Almost surely, 2^561648384 is an apocalyptic number.

561648384 is a gapful number since it is divisible by the number (54) 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 561648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927158400).

561648384 is an abundant number, since it is smaller than the sum of its proper divisors (1292668416).

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

561648384 is a wasteful number, since it uses less digits than its factorization.

561648384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 561648384 is about 23699.1220090534. The cubic root of 561648384 is about 825.0650130584.

The spelling of 561648384 in words is "five hundred sixty-one million, six hundred forty-eight thousand, three hundred eighty-four".