813691872 has 384 divisors, whose sum is σ = 2924006400. Its totient is φ = 214990848.

The previous prime is 813691849. The next prime is 813691877. The reversal of 813691872 is 278196318.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813691877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8388528 + ... + 8388624.

It is an arithmetic number, because the mean of its divisors is an integer number (7614600).

Almost surely, 2^813691872 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 813691872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462003200).

813691872 is an abundant number, since it is smaller than the sum of its proper divisors (2110314528).

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

813691872 is a wasteful number, since it uses less digits than its factorization.

813691872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 813691872 is about 28525.2847838545. The cubic root of 813691872 is about 933.5838406941.

The spelling of 813691872 in words is "eight hundred thirteen million, six hundred ninety-one thousand, eight hundred seventy-two".