895566672 has 640 divisors, whose sum is σ = 3666432000. Its totient is φ = 201553920.

The previous prime is 895566643. The next prime is 895566677. The reversal of 895566672 is 276665598.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895566677) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8216154 + ... + 8216262.

It is an arithmetic number, because the mean of its divisors is an integer number (5728800).

Almost surely, 2^895566672 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 895566672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833216000).

895566672 is an abundant number, since it is smaller than the sum of its proper divisors (2770865328).

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

895566672 is a wasteful number, since it uses less digits than its factorization.

895566672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 895566672 is about 29926.0199826171. The cubic root of 895566672 is about 963.9014666023.

The spelling of 895566672 in words is "eight hundred ninety-five million, five hundred sixty-six thousand, six hundred seventy-two".