815064000 has 112 divisors (see below), whose sum is σ = 2691420576. Its totient is φ = 217344000.

The previous prime is 815063987. The next prime is 815064007. The reversal of 815064000 is 460518.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815064007) 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, 7020 + ... + 40980.

Almost surely, 2^815064000 is an apocalyptic number.

815064000 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 815064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345710288).

815064000 is an abundant number, since it is smaller than the sum of its proper divisors (1876356576).

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

815064000 is a wasteful number, since it uses less digits than its factorization.

815064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33991 (or 33971 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 815064000 is about 28549.3257363462. The cubic root of 815064000 is about 934.1083132446.

The spelling of 815064000 in words is "eight hundred fifteen million, sixty-four thousand".