561166704 has 320 divisors, whose sum is σ = 1952256000. Its totient is φ = 152845056.

The previous prime is 561166687. The next prime is 561166709. The reversal of 561166704 is 407661165.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561166709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7103337 + ... + 7103415.

It is an arithmetic number, because the mean of its divisors is an integer number (6100800).

Almost surely, 2^561166704 is an apocalyptic number.

561166704 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 561166704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976128000).

561166704 is an abundant number, since it is smaller than the sum of its proper divisors (1391089296).

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

561166704 is an equidigital number, since it uses as much as digits as its factorization.

561166704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 561166704 is about 23688.9574274597. The cubic root of 561166704 is about 824.8290819481.

The spelling of 561166704 in words is "five hundred sixty-one million, one hundred sixty-six thousand, seven hundred four".