895456512 has 144 divisors (see below), whose sum is σ = 2662759680. Its totient is φ = 296828928.

The previous prime is 895456459. The next prime is 895456537. The reversal of 895456512 is 215654598.

895456512 is a `hidden beast` number, since 8 + 95 + 45 + 6 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×895456512² = 1603684729766412288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is an upside-down number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2439753 + ... + 2440119.

Almost surely, 2^895456512 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 895456512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331379840).

895456512 is an abundant number, since it is smaller than the sum of its proper divisors (1767303168).

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

895456512 is a wasteful number, since it uses less digits than its factorization.

895456512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 725 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 895456512 is about 29924.1793872447. The cubic root of 895456512 is about 963.8619431204.

It can be divided in two parts, 89545651 and 2, that added together give a triangular number (89545653 = T₁₃₃₈₂).

The spelling of 895456512 in words is "eight hundred ninety-five million, four hundred fifty-six thousand, five hundred twelve".