8155461600 has 648 divisors, whose sum is σ = 34169734872. Its totient is φ = 1804492800.

The previous prime is 8155461583. The next prime is 8155461631. The reversal of 8155461600 is 61645518.

8155461600 is a `hidden beast` number, since 8 + 1 + 5 + 5 + 46 + 1 + 600 = 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, 91634356 + ... + 91634444.

Almost surely, 2^8155461600 is an apocalyptic number.

8155461600 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 8155461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17084867436).

8155461600 is an abundant number, since it is smaller than the sum of its proper divisors (26014273272).

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

8155461600 is a wasteful number, since it uses less digits than its factorization.

8155461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 8155461600 is about 90307.5943650367. The cubic root of 8155461600 is about 2012.8721099925.

The spelling of 8155461600 in words is "eight billion, one hundred fifty-five million, four hundred sixty-one thousand, six hundred".