1200836416 has 56 divisors (see below), whose sum is σ = 2595204360. Its totient is φ = 547971072.

The previous prime is 1200836407. The next prime is 1200836453. The reversal of 1200836416 is 6146380021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44836416 + 1156000000 = 6696^2 + 34000^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65940 + ... + 82156.

It is an arithmetic number, because the mean of its divisors is an integer number (46342935).

Almost surely, 2^1200836416 is an apocalyptic number.

1200836416 is a gapful number since it is divisible by the number (16) 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 1200836416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297602180).

1200836416 is an abundant number, since it is smaller than the sum of its proper divisors (1394367944).

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

1200836416 is a wasteful number, since it uses less digits than its factorization.

1200836416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16331 (or 16321 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 1200836416 is about 34653.0866734841. The cubic root of 1200836416 is about 1062.9054075721.

The spelling of 1200836416 in words is "one billion, two hundred million, eight hundred thirty-six thousand, four hundred sixteen".