895125600 has 288 divisors, whose sum is σ = 3351348000. Its totient is φ = 230307840.

The previous prime is 895125593. The next prime is 895125601. The reversal of 895125600 is 6521598.

It is a happy number.

895125600 is a `hidden beast` number, since 8 + 95 + 1 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895125601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625686 + ... + 627114.

It is an arithmetic number, because the mean of its divisors is an integer number (11636625).

Almost surely, 2^895125600 is an apocalyptic number.

895125600 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 895125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675674000).

895125600 is an abundant number, since it is smaller than the sum of its proper divisors (2456222400).

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

895125600 is a wasteful number, since it uses less digits than its factorization.

895125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 895125600 is about 29918.6497021507. The cubic root of 895125600 is about 963.7431981836.

The spelling of 895125600 in words is "eight hundred ninety-five million, one hundred twenty-five thousand, six hundred".