815736960 has 128 divisors (see below), whose sum is σ = 2889129600. Its totient is φ = 217525248.

The previous prime is 815736949. The next prime is 815736979. The reversal of 815736960 is 69637518.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6324 + ... + 40883.

It is an arithmetic number, because the mean of its divisors is an integer number (22571325).

Almost surely, 2^815736960 is an apocalyptic number.

815736960 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 815736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444564800).

815736960 is an abundant number, since it is smaller than the sum of its proper divisors (2073392640).

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

815736960 is a wasteful number, since it uses less digits than its factorization.

815736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47235 (or 47217 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 815736960 is about 28561.1092221573. The cubic root of 815736960 is about 934.3653256195.

The spelling of 815736960 in words is "eight hundred fifteen million, seven hundred thirty-six thousand, nine hundred sixty".