815258196 has 84 divisors (see below), whose sum is σ = 2166763200. Its totient is φ = 268237008.

The previous prime is 815258189. The next prime is 815258261. The reversal of 815258196 is 691852518.

It is a happy number.

815258196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×815258196² = 1329291852290348832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 228595 + ... + 232133.

It is an arithmetic number, because the mean of its divisors is an integer number (25794800).

Almost surely, 2^815258196 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 815258196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083381600).

815258196 is an abundant number, since it is smaller than the sum of its proper divisors (1351505004).

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

815258196 is a wasteful number, since it uses less digits than its factorization.

815258196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3623 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 815258196 is about 28552.7265948455. The cubic root of 815258196 is about 934.1824937969.

The spelling of 815258196 in words is "eight hundred fifteen million, two hundred fifty-eight thousand, one hundred ninety-six".