813064832 has 64 divisors (see below), whose sum is σ = 1660478400. Its totient is φ = 396447744.

The previous prime is 813064823. The next prime is 813064867. The reversal of 813064832 is 238460318.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×813064832² = 1322148842070376448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813064792 and 813064801.

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, 968669 + ... + 969507.

It is an arithmetic number, because the mean of its divisors is an integer number (25944975).

Almost surely, 2^813064832 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 813064832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830239200).

813064832 is an abundant number, since it is smaller than the sum of its proper divisors (847413568).

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

813064832 is a wasteful number, since it uses less digits than its factorization.

813064832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1021 counting only the distinct ones).

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

The square root of 813064832 is about 28514.2917148577. The cubic root of 813064832 is about 933.3439690398.

The spelling of 813064832 in words is "eight hundred thirteen million, sixty-four thousand, eight hundred thirty-two".