201198816 has 240 divisors, whose sum is σ = 729124704. Its totient is φ = 53001216.

The previous prime is 201198799. The next prime is 201198857. The reversal of 201198816 is 618891102.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235446 + ... + 236298.

Almost surely, 2^201198816 is an apocalyptic number.

201198816 is a gapful number since it is divisible by the number (26) 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 201198816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364562352).

201198816 is an abundant number, since it is smaller than the sum of its proper divisors (527925888).

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

201198816 is a wasteful number, since it uses less digits than its factorization.

201198816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 201198816 is about 14184.4568454347. The cubic root of 201198816 is about 585.9696738685.

The spelling of 201198816 in words is "two hundred one million, one hundred ninety-eight thousand, eight hundred sixteen".