815120064 has 448 divisors, whose sum is σ = 2872435200. Its totient is φ = 223948800.

The previous prime is 815120039. The next prime is 815120071. The reversal of 815120064 is 460021518.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13362594 + ... + 13362654.

Almost surely, 2^815120064 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 815120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436217600).

815120064 is an abundant number, since it is smaller than the sum of its proper divisors (2057315136).

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

815120064 is a wasteful number, since it uses less digits than its factorization.

815120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 815120064 is about 28550.3075990435. The cubic root of 815120064 is about 934.1297302326.

The spelling of 815120064 in words is "eight hundred fifteen million, one hundred twenty thousand, sixty-four".