815166048 has 96 divisors (see below), whose sum is σ = 2274459264. Its totient is φ = 254748672.

The previous prime is 815166047. The next prime is 815166083. The reversal of 815166048 is 840661518.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 815165997 and 815166015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815166047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500211 + ... + 501837.

It is an arithmetic number, because the mean of its divisors is an integer number (23692284).

Almost surely, 2^815166048 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 815166048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137229632).

815166048 is an abundant number, since it is smaller than the sum of its proper divisors (1459293216).

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

815166048 is a wasteful number, since it uses less digits than its factorization.

815166048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 815166048 is about 28551.1129030026. The cubic root of 815166048 is about 934.1472958305.

The spelling of 815166048 in words is "eight hundred fifteen million, one hundred sixty-six thousand, forty-eight".