895605660 has 336 divisors, whose sum is σ = 3073865760. Its totient is φ = 218350080.

The previous prime is 895605653. The next prime is 895605661. The reversal of 895605660 is 66506598.

895605660 is a `hidden beast` number, since 89 + 5 + 6 + 0 + 566 + 0 = 666.

895605660 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895605661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14682030 + ... + 14682090.

It is an arithmetic number, because the mean of its divisors is an integer number (9148410).

Almost surely, 2^895605660 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 895605660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536932880).

895605660 is an abundant number, since it is smaller than the sum of its proper divisors (2178260100).

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

895605660 is a wasteful number, since it uses less digits than its factorization.

895605660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 895605660 is about 29926.6713818961. The cubic root of 895605660 is about 963.9154540385.

The spelling of 895605660 in words is "eight hundred ninety-five million, six hundred five thousand, six hundred sixty".