561690000 has 225 divisors, whose sum is σ = 1989490503. Its totient is φ = 147888000.

The previous prime is 561689983. The next prime is 561690029. The reversal of 561690000 is 96165.

The square root of 561690000 is 23700.

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

It can be written as a sum of positive squares in 2 ways, for example, as 44036496 + 517653504 = 6636^2 + 22752^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×561690000² = 630991312200000000, which contains 22 as substring.

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, 7109961 + ... + 7110039.

Almost surely, 2^561690000 is an apocalyptic number.

561690000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

561690000 is the 23700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561690000

561690000 is an abundant number, since it is smaller than the sum of its proper divisors (1427800503).

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

561690000 is an equidigital number, since it uses as much as digits as its factorization.

561690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 561690000 is about 825.0853906105.

It can be divided in two parts, 561 and 690000, that added together give a square (690561 = 831²).

The spelling of 561690000 in words is "five hundred sixty-one million, six hundred ninety thousand".