1561332360 has 256 divisors, whose sum is σ = 5852528640. Its totient is φ = 324956160.

The previous prime is 1561332359. The next prime is 1561332371. The reversal of 1561332360 is 632331651.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 440917 + ... + 444443.

It is an arithmetic number, because the mean of its divisors is an integer number (22861440).

Almost surely, 2^1561332360 is an apocalyptic number.

1561332360 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 1561332360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926264320).

1561332360 is an abundant number, since it is smaller than the sum of its proper divisors (4291196280).

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

1561332360 is a wasteful number, since it uses less digits than its factorization.

1561332360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 1561332360 is about 39513.6983842313. The cubic root of 1561332360 is about 1160.1080854498.

The spelling of 1561332360 in words is "one billion, five hundred sixty-one million, three hundred thirty-two thousand, three hundred sixty".