815210172 has 144 divisors (see below), whose sum is σ = 2437972992. Its totient is φ = 224864640.

The previous prime is 815210167. The next prime is 815210261. The reversal of 815210172 is 271012518.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894397 + ... + 895307.

It is an arithmetic number, because the mean of its divisors is an integer number (16930368).

Almost surely, 2^815210172 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 815210172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218986496).

815210172 is an abundant number, since it is smaller than the sum of its proper divisors (1622762820).

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

815210172 is a wasteful number, since it uses less digits than its factorization.

815210172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 815210172 is about 28551.8856119872. The cubic root of 815210172 is about 934.1641502990.

The spelling of 815210172 in words is "eight hundred fifteen million, two hundred ten thousand, one hundred seventy-two".