561407136 has 96 divisors (see below), whose sum is σ = 1557480960. Its totient is φ = 176576256.

The previous prime is 561407131. The next prime is 561407173. The reversal of 561407136 is 631704165.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 561407097 and 561407106.

It is not an unprimeable number, because it can be changed into a prime (561407131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632485 + ... + 633371.

It is an arithmetic number, because the mean of its divisors is an integer number (16223760).

Almost surely, 2^561407136 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 561407136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778740480).

561407136 is an abundant number, since it is smaller than the sum of its proper divisors (996073824).

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

561407136 is a wasteful number, since it uses less digits than its factorization.

561407136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 561407136 is about 23694.0316535620. The cubic root of 561407136 is about 824.9468645300.

The spelling of 561407136 in words is "five hundred sixty-one million, four hundred seven thousand, one hundred thirty-six".