561150720 has 288 divisors, whose sum is σ = 2146200000. Its totient is φ = 138018816.

The previous prime is 561150713. The next prime is 561150727. The reversal of 561150720 is 27051165.

It is an interprime number because it is at equal distance from previous prime (561150713) and next prime (561150727).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (561150727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448656 + ... + 449904.

Almost surely, 2^561150720 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 561150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073100000).

561150720 is an abundant number, since it is smaller than the sum of its proper divisors (1585049280).

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

561150720 is a wasteful number, since it uses less digits than its factorization.

561150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 561150720 is about 23688.6200526751. The cubic root of 561150720 is about 824.8212505301.

The spelling of 561150720 in words is "five hundred sixty-one million, one hundred fifty thousand, seven hundred twenty".