895538560 has 256 divisors, whose sum is σ = 2595369600. Its totient is φ = 289013760.

The previous prime is 895538551. The next prime is 895538561. The reversal of 895538560 is 65835598.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895538561) 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, 7925064 + ... + 7925176.

Almost surely, 2^895538560 is an apocalyptic number.

895538560 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 895538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297684800).

895538560 is an abundant number, since it is smaller than the sum of its proper divisors (1699831040).

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

895538560 is a wasteful number, since it uses less digits than its factorization.

895538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 49.

The square root of 895538560 is about 29925.5502873381. The cubic root of 895538560 is about 963.8913808163.

The spelling of 895538560 in words is "eight hundred ninety-five million, five hundred thirty-eight thousand, five hundred sixty".