815823360 has 640 divisors, whose sum is σ = 3358713600. Its totient is φ = 185794560.

The previous prime is 815823347. The next prime is 815823361. The reversal of 815823360 is 63328518.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815823361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22049262 + ... + 22049298.

It is an arithmetic number, because the mean of its divisors is an integer number (5247990).

Almost surely, 2^815823360 is an apocalyptic number.

815823360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679356800).

815823360 is an abundant number, since it is smaller than the sum of its proper divisors (2542890240).

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

815823360 is a wasteful number, since it uses less digits than its factorization.

815823360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 815823360 is about 28562.6217284058. The cubic root of 815823360 is about 934.3983126885.

The spelling of 815823360 in words is "eight hundred fifteen million, eight hundred twenty-three thousand, three hundred sixty".