813845088 has 144 divisors (see below), whose sum is σ = 2784337920. Its totient is φ = 220278528.

The previous prime is 813845057. The next prime is 813845141. The reversal of 813845088 is 880548318.

813845088 is a `hidden beast` number, since 8 + 138 + 4 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27681 + ... + 48927.

It is an arithmetic number, because the mean of its divisors is an integer number (19335680).

Almost surely, 2^813845088 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 813845088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392168960).

813845088 is an abundant number, since it is smaller than the sum of its proper divisors (1970492832).

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

813845088 is a wasteful number, since it uses less digits than its factorization.

813845088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21289 (or 21278 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 813845088 is about 28527.9702748022. The cubic root of 813845088 is about 933.6424341288.

The spelling of 813845088 in words is "eight hundred thirteen million, eight hundred forty-five thousand, eighty-eight".