895487616 has 256 divisors, whose sum is σ = 2790720000. Its totient is φ = 282341376.

The previous prime is 895487611. The next prime is 895487627. The reversal of 895487616 is 616784598.

895487616 is a `hidden beast` number, since 89 + 548 + 7 + 6 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2903040) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (895487611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6009910 + ... + 6010058.

It is an arithmetic number, because the mean of its divisors is an integer number (10901250).

Almost surely, 2^895487616 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 895487616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395360000).

895487616 is an abundant number, since it is smaller than the sum of its proper divisors (1895232384).

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

895487616 is a wasteful number, since it uses less digits than its factorization.

895487616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 895487616 is about 29924.6990962315. The cubic root of 895487616 is about 963.8731030201.

The spelling of 895487616 in words is "eight hundred ninety-five million, four hundred eighty-seven thousand, six hundred sixteen".