811671552 has 168 divisors, whose sum is σ = 2389624380. Its totient is φ = 265420800.

The previous prime is 811671533. The next prime is 811671557. The reversal of 811671552 is 255176118.

It can be written as a sum of positive squares in 2 ways, for example, as 691900416 + 119771136 = 26304^2 + 10944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (811671557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7446474 + ... + 7446582.

Almost surely, 2^811671552 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 811671552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194812190).

811671552 is an abundant number, since it is smaller than the sum of its proper divisors (1577952828).

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

811671552 is a wasteful number, since it uses less digits than its factorization.

811671552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 215 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The square root of 811671552 is about 28489.8499820550. The cubic root of 811671552 is about 932.8105335161.

The spelling of 811671552 in words is "eight hundred eleven million, six hundred seventy-one thousand, five hundred fifty-two".