813184960 has 112 divisors (see below), whose sum is σ = 2243791296. Its totient is φ = 274931712.

The previous prime is 813184949. The next prime is 813184979. The reversal of 813184960 is 69481318.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×813184960² = 1322539558340403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161034 + ... + 166006.

Almost surely, 2^813184960 is an apocalyptic number.

813184960 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 813184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121895648).

813184960 is an abundant number, since it is smaller than the sum of its proper divisors (1430606336).

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

813184960 is a wasteful number, since it uses less digits than its factorization.

813184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5060 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 813184960 is about 28516.3980895204. The cubic root of 813184960 is about 933.3899330755.

The spelling of 813184960 in words is "eight hundred thirteen million, one hundred eighty-four thousand, nine hundred sixty".