561364128 has 384 divisors, whose sum is σ = 1920360960. Its totient is φ = 158146560.

The previous prime is 561364103. The next prime is 561364147. The reversal of 561364128 is 821463165.

It is a happy number.

561364128 is a `hidden beast` number, since 5 + 6 + 1 + 3 + 641 + 2 + 8 = 666.

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

Its product of digits (34560) is a multiple of the sum of its prime divisors (135).

It is a junction number, because it is equal to n+sod(n) for n = 561364092 and 561364101.

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, 10591750 + ... + 10591802.

It is an arithmetic number, because the mean of its divisors is an integer number (5000940).

Almost surely, 2^561364128 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 561364128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960180480).

561364128 is an abundant number, since it is smaller than the sum of its proper divisors (1358996832).

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

561364128 is a wasteful number, since it uses less digits than its factorization.

561364128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 561364128 is about 23693.1240658551. The cubic root of 561364128 is about 824.9257982851.

The spelling of 561364128 in words is "five hundred sixty-one million, three hundred sixty-four thousand, one hundred twenty-eight".