561157296 has 80 divisors (see below), whose sum is σ = 1661869824. Its totient is φ = 159835392.

The previous prime is 561157253. The next prime is 561157297. The reversal of 561157296 is 692751165.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (561157297) 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, 114186 + ... + 118998.

Almost surely, 2^561157296 is an apocalyptic number.

561157296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561157296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830934912).

561157296 is an abundant number, since it is smaller than the sum of its proper divisors (1100712528).

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

561157296 is a wasteful number, since it uses less digits than its factorization.

561157296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5178 (or 5172 counting only the distinct ones).

The product of its digits is 113400, while the sum is 42.

The square root of 561157296 is about 23688.7588530932. The cubic root of 561157296 is about 824.8244724828.

The spelling of 561157296 in words is "five hundred sixty-one million, one hundred fifty-seven thousand, two hundred ninety-six".