813208032 has 192 divisors, whose sum is σ = 2919490560. Its totient is φ = 214451712.

The previous prime is 813207953. The next prime is 813208049. The reversal of 813208032 is 230802318.

It is a super-2 number, since 2×813208032² = 1322614606618626048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 = 813207987 and 813208005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73453 + ... + 83795.

It is an arithmetic number, because the mean of its divisors is an integer number (15205680).

Almost surely, 2^813208032 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 813208032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459745280).

813208032 is an abundant number, since it is smaller than the sum of its proper divisors (2106282528).

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

813208032 is a wasteful number, since it uses less digits than its factorization.

813208032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10382 (or 10368 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 813208032 is about 28516.8026258204. The cubic root of 813208032 is about 933.3987604928.

The spelling of 813208032 in words is "eight hundred thirteen million, two hundred eight thousand, thirty-two".