812198016 has 480 divisors, whose sum is σ = 3009473280. Its totient is φ = 212751360.

The previous prime is 812197999. The next prime is 812198021. The reversal of 812198016 is 610891218.

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 59 ways as a sum of consecutive naturals, for example, 26199921 + ... + 26199951.

It is an arithmetic number, because the mean of its divisors is an integer number (6269736).

Almost surely, 2^812198016 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 812198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504736640).

812198016 is an abundant number, since it is smaller than the sum of its proper divisors (2197275264).

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

812198016 is a wasteful number, since it uses less digits than its factorization.

812198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 62 counting only the distinct ones).

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

The square root of 812198016 is about 28499.0879854075. The cubic root of 812198016 is about 933.0121688635.

The spelling of 812198016 in words is "eight hundred twelve million, one hundred ninety-eight thousand, sixteen".