8166261600 has 648 divisors, whose sum is σ = 34037508960. Its totient is φ = 1836656640.

The previous prime is 8166261577. The next prime is 8166261629. The reversal of 8166261600 is 61626618.

8166261600 is a `hidden beast` number, since 8 + 16 + 626 + 16 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27871054 + ... + 27871346.

It is an arithmetic number, because the mean of its divisors is an integer number (52527020).

Almost surely, 2^8166261600 is an apocalyptic number.

8166261600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8166261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17018754480).

8166261600 is an abundant number, since it is smaller than the sum of its proper divisors (25871247360).

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

8166261600 is a wasteful number, since it uses less digits than its factorization.

8166261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8166261600 is about 90367.3702173522. The cubic root of 8166261600 is about 2013.7602440564.

It can be divided in two parts, 8166261 and 600, that added together give a triangular number (8166861 = T₄₀₄₁).

The spelling of 8166261600 in words is "eight billion, one hundred sixty-six million, two hundred sixty-one thousand, six hundred".