814944032 has 48 divisors (see below), whose sum is σ = 1837406592. Its totient is φ = 348541440.

The previous prime is 814944017. The next prime is 814944061. The reversal of 814944032 is 230449418.

It is a junction number, because it is equal to n+sod(n) for n = 814943983 and 814944001.

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 7 ways as a sum of consecutive naturals, for example, 113213 + ... + 120195.

It is an arithmetic number, because the mean of its divisors is an integer number (38279304).

Almost surely, 2^814944032 is an apocalyptic number.

It is an amenable number.

814944032 is an abundant number, since it is smaller than the sum of its proper divisors (1022462560).

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

814944032 is a wasteful number, since it uses less digits than its factorization.

814944032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7521 (or 7513 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 814944032 is about 28547.2245936448. The cubic root of 814944032 is about 934.0624810135.

The spelling of 814944032 in words is "eight hundred fourteen million, nine hundred forty-four thousand, thirty-two".