1809601416 has 96 divisors (see below), whose sum is σ = 5622240000. Its totient is φ = 515082240.

The previous prime is 1809601411. The next prime is 1809601433. The reversal of 1809601416 is 6141069081.

It is a happy number.

1809601416 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 601 + 41 + 6 = 666.

1809601416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1809601411) 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, 129960 + ... + 143208.

It is an arithmetic number, because the mean of its divisors is an integer number (58565000).

Almost surely, 2^1809601416 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 1809601416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811120000).

1809601416 is an abundant number, since it is smaller than the sum of its proper divisors (3812638584).

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

1809601416 is a wasteful number, since it uses less digits than its factorization.

1809601416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13539 (or 13532 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1809601416 is about 42539.4101510587. The cubic root of 1809601416 is about 1218.5994444713.

The spelling of 1809601416 in words is "one billion, eight hundred nine million, six hundred one thousand, four hundred sixteen".