814720032 has 240 divisors, whose sum is σ = 2776479552. Its totient is φ = 229547520.

The previous prime is 814720013. The next prime is 814720063. The reversal of 814720032 is 230027418.

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

It is a junction number, because it is equal to n+sod(n) for n = 814719978 and 814720005.

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 39 ways as a sum of consecutive naturals, for example, 1505682 + ... + 1506222.

Almost surely, 2^814720032 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 814720032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388239776).

814720032 is an abundant number, since it is smaller than the sum of its proper divisors (1961759520).

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

814720032 is a wasteful number, since it uses less digits than its factorization.

814720032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 814720032 is about 28543.3010004099. The cubic root of 814720032 is about 933.9768926539.

The spelling of 814720032 in words is "eight hundred fourteen million, seven hundred twenty thousand, thirty-two".