561792000 has 704 divisors, whose sum is σ = 2452469760. Its totient is φ = 110592000.

The previous prime is 561791969. The next prime is 561792109. The reversal of 561792000 is 297165.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×561792000² = 631220502528000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 29567991 + ... + 29568009.

Almost surely, 2^561792000 is an apocalyptic number.

561792000 is a gapful number since it is divisible by the number (50) 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 561792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226234880).

561792000 is an abundant number, since it is smaller than the sum of its proper divisors (1890677760).

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

561792000 is a wasteful number, since it uses less digits than its factorization.

561792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 561792000 is about 23702.1518010496. The cubic root of 561792000 is about 825.1353313347.

The spelling of 561792000 in words is "five hundred sixty-one million, seven hundred ninety-two thousand".