1561167936 has 336 divisors, whose sum is σ = 5059192320. Its totient is φ = 457850880.

The previous prime is 1561167931. The next prime is 1561167943. The reversal of 1561167936 is 6397611651.

1561167936 is a `hidden beast` number, since 1 + 561 + 16 + 79 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1561167891 and 1561167900.

It is not an unprimeable number, because it can be changed into a prime (1561167931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11231355 + ... + 11231493.

It is an arithmetic number, because the mean of its divisors is an integer number (15057120).

Almost surely, 2^1561167936 is an apocalyptic number.

1561167936 is a gapful number since it is divisible by the number (16) 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 1561167936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529596160).

1561167936 is an abundant number, since it is smaller than the sum of its proper divisors (3498024384).

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

1561167936 is a wasteful number, since it uses less digits than its factorization.

1561167936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 1561167936 is about 39511.6177345347. The cubic root of 1561167936 is about 1160.0673603373.

The spelling of 1561167936 in words is "one billion, five hundred sixty-one million, one hundred sixty-seven thousand, nine hundred thirty-six".