815091648 has 168 divisors, whose sum is σ = 2538813312. Its totient is φ = 226077696.

The previous prime is 815091619. The next prime is 815091677. The reversal of 815091648 is 846190518.

It is an interprime number because it is at equal distance from previous prime (815091619) and next prime (815091677).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1839715 + ... + 1840157.

It is an arithmetic number, because the mean of its divisors is an integer number (15111984).

Almost surely, 2^815091648 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 815091648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269406656).

815091648 is an abundant number, since it is smaller than the sum of its proper divisors (1723721664).

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

815091648 is a wasteful number, since it uses less digits than its factorization.

815091648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 815091648 is about 28549.8099468280. The cubic root of 815091648 is about 934.1188751696.

The spelling of 815091648 in words is "eight hundred fifteen million, ninety-one thousand, six hundred forty-eight".