895348080 has 480 divisors, whose sum is σ = 3509775360. Its totient is φ = 210263040.

The previous prime is 895348063. The next prime is 895348087. The reversal of 895348080 is 80843598.

895348080 is a `hidden beast` number, since 8 + 95 + 3 + 480 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895348087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11333481 + ... + 11333559.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2^895348080 is an apocalyptic number.

895348080 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 895348080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754887680).

895348080 is an abundant number, since it is smaller than the sum of its proper divisors (2614427280).

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

895348080 is a wasteful number, since it uses less digits than its factorization.

895348080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 895348080 is about 29922.3675533872. The cubic root of 895348080 is about 963.8230364489.

The spelling of 895348080 in words is "eight hundred ninety-five million, three hundred forty-eight thousand, eighty".