1561344624 has 180 divisors, whose sum is σ = 5149179360. Its totient is φ = 440294400.

The previous prime is 1561344619. The next prime is 1561344637. The reversal of 1561344624 is 4264431651.

1561344624 is a `hidden beast` number, since 1 + 561 + 34 + 4 + 62 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 556024 + ... + 558824.

It is an arithmetic number, because the mean of its divisors is an integer number (28606552).

Almost surely, 2^1561344624 is an apocalyptic number.

1561344624 is a gapful number since it is divisible by the number (14) 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 1561344624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574589680).

1561344624 is an abundant number, since it is smaller than the sum of its proper divisors (3587834736).

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

1561344624 is a wasteful number, since it uses less digits than its factorization.

1561344624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2892 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1561344624 is about 39513.8535706150. The cubic root of 1561344624 is about 1160.1111229257. Note that the first 4 decimals are identical.

The spelling of 1561344624 in words is "one billion, five hundred sixty-one million, three hundred forty-four thousand, six hundred twenty-four".