1561416 has 64 divisors (see below), whose sum is σ = 4276800. Its totient is φ = 473088.

The previous prime is 1561393. The next prime is 1561421. The reversal of 1561416 is 6141651.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17500 + ... + 17588.

It is an arithmetic number, because the mean of its divisors is an integer number (66825).

2^1561416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138400).

1561416 is an abundant number, since it is smaller than the sum of its proper divisors (2715384).

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

1561416 is a wasteful number, since it uses less digits than its factorization.

1561416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 1561416 is about 1249.5663247703. The cubic root of 1561416 is about 116.0128800601.

The spelling of 1561416 in words is "one million, five hundred sixty-one thousand, four hundred sixteen".