561200640 has 640 divisors, whose sum is σ = 2441843712. Its totient is φ = 106168320.

The previous prime is 561200573. The next prime is 561200641. The reversal of 561200640 is 46002165.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 561200640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561200641) 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, 7687644 + ... + 7687716.

Almost surely, 2^561200640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220921856).

561200640 is an abundant number, since it is smaller than the sum of its proper divisors (1880643072).

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

561200640 is a wasteful number, since it uses less digits than its factorization.

561200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 561200640 is about 23689.6736997368. The cubic root of 561200640 is about 824.8457085199.

The spelling of 561200640 in words is "five hundred sixty-one million, two hundred thousand, six hundred forty".