895205520 has 400 divisors, whose sum is σ = 3575753280. Its totient is φ = 205286400.

The previous prime is 895205513. The next prime is 895205527. The reversal of 895205520 is 25502598.

895205520 is a `hidden beast` number, since 89 + 5 + 20 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (895205513) and next prime (895205527).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (895205527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1353990 + ... + 1354650.

Almost surely, 2^895205520 is an apocalyptic number.

895205520 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 895205520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787876640).

895205520 is an abundant number, since it is smaller than the sum of its proper divisors (2680547760).

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

895205520 is a wasteful number, since it uses less digits than its factorization.

895205520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 895205520 is about 29919.9852941140. The cubic root of 895205520 is about 963.7718794712.

The spelling of 895205520 in words is "eight hundred ninety-five million, two hundred five thousand, five hundred twenty".