1561743360 has 312 divisors, whose sum is σ = 5583968520. Its totient is φ = 403439616.

The previous prime is 1561743353. The next prime is 1561743367. The reversal of 1561743360 is 633471651.

1561743360 is a `hidden beast` number, since 1 + 5 + 617 + 4 + 3 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1561743353) and next prime (1561743367).

It can be written as a sum of positive squares in 4 ways, for example, as 818417664 + 743325696 = 28608^2 + 27264^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561743367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6819726 + ... + 6819954.

It is an arithmetic number, because the mean of its divisors is an integer number (17897335).

Almost surely, 2^1561743360 is an apocalyptic number.

1561743360 is a gapful number since it is divisible by the number (10) 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 1561743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791984260).

1561743360 is an abundant number, since it is smaller than the sum of its proper divisors (4022225160).

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

1561743360 is a wasteful number, since it uses less digits than its factorization.

1561743360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1561743360 is about 39518.8987700821. The cubic root of 1561743360 is about 1160.2098708659.

The spelling of 1561743360 in words is "one billion, five hundred sixty-one million, seven hundred forty-three thousand, three hundred sixty".