813684690 has 480 divisors, whose sum is σ = 2919913920. Its totient is φ = 160683264.

The previous prime is 813684689. The next prime is 813684701. The reversal of 813684690 is 96486318.

It is a super-2 number, since 2×813684690² = 1324165549480792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9803389 + ... + 9803471.

It is an arithmetic number, because the mean of its divisors is an integer number (6083154).

Almost surely, 2^813684690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813684690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459956960).

813684690 is an abundant number, since it is smaller than the sum of its proper divisors (2106229230).

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

813684690 is a wasteful number, since it uses less digits than its factorization.

813684690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 813684690 is about 28525.1588952630. The cubic root of 813684690 is about 933.5810939464.

The spelling of 813684690 in words is "eight hundred thirteen million, six hundred eighty-four thousand, six hundred ninety".