811603968 has 192 divisors, whose sum is σ = 2509678080. Its totient is φ = 228458496.

The previous prime is 811603937. The next prime is 811603997. The reversal of 811603968 is 869306118.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4859821 + ... + 4859987.

It is an arithmetic number, because the mean of its divisors is an integer number (13071240).

Almost surely, 2^811603968 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 811603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254839040).

811603968 is an abundant number, since it is smaller than the sum of its proper divisors (1698074112).

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

811603968 is a wasteful number, since it uses less digits than its factorization.

811603968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 811603968 is about 28488.6638507319. The cubic root of 811603968 is about 932.7846425766.

The spelling of 811603968 in words is "eight hundred eleven million, six hundred three thousand, nine hundred sixty-eight".