561121344 has 315 divisors, whose sum is σ = 1976949183. Its totient is φ = 156909312.

The previous prime is 561121331. The next prime is 561121381. The reversal of 561121344 is 443121165.

It is a happy number.

The square root of 561121344 is 23688.

It is a perfect power (a square), and thus also a powerful number.

561121344 is a `hidden beast` number, since 5 + 611 + 2 + 1 + 3 + 44 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11938729 + ... + 11938775.

Almost surely, 2^561121344 is an apocalyptic number.

561121344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

561121344 is the 23688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561121344

561121344 is an abundant number, since it is smaller than the sum of its proper divisors (1415827839).

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

561121344 is an equidigital number, since it uses as much as digits as its factorization.

561121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 59 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The cubic root of 561121344 is about 824.8068572658.

The spelling of 561121344 in words is "five hundred sixty-one million, one hundred twenty-one thousand, three hundred forty-four".