815151168 has 224 divisors, whose sum is σ = 2609819520. Its totient is φ = 248002560.

The previous prime is 815151121. The next prime is 815151187. The reversal of 815151168 is 861151518.

815151168 is a `hidden beast` number, since 81 + 5 + 1 + 511 + 68 = 666.

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 31 ways as a sum of consecutive naturals, for example, 2942646 + ... + 2942922.

It is an arithmetic number, because the mean of its divisors is an integer number (11650980).

Almost surely, 2^815151168 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 815151168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304909760).

815151168 is an abundant number, since it is smaller than the sum of its proper divisors (1794668352).

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

815151168 is a wasteful number, since it uses less digits than its factorization.

815151168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

The product of its digits is 9600, while the sum is 36.

The square root of 815151168 is about 28550.8523165246. The cubic root of 815151168 is about 934.1416118366.

It can be divided in two parts, 8151 and 51168, that added together give a cube (59319 = 39³).

The spelling of 815151168 in words is "eight hundred fifteen million, one hundred fifty-one thousand, one hundred sixty-eight".