1806825216 has 288 divisors, whose sum is σ = 5919424000. Its totient is φ = 489065472.

The previous prime is 1806825179. The next prime is 1806825217. The reversal of 1806825216 is 6125286081.

It is a super-2 number, since 2×1806825216² = 6529234722346893312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1806825217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95096055 + ... + 95096073.

Almost surely, 2^1806825216 is an apocalyptic number.

1806825216 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 1806825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959712000).

1806825216 is an abundant number, since it is smaller than the sum of its proper divisors (4112598784).

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

1806825216 is an frugal number, since it uses more digits than its factorization.

1806825216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 1806825216 is about 42506.7667083724. The cubic root of 1806825216 is about 1217.9759540767.

The spelling of 1806825216 in words is "one billion, eight hundred six million, eight hundred twenty-five thousand, two hundred sixteen".