895104000 has 704 divisors, whose sum is σ = 3883077120. Its totient is φ = 199065600.

The previous prime is 895103981. The next prime is 895104011. The reversal of 895104000 is 401598.

It is a super-2 number, since 2×895104000² = 1602422341632000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24191982 + ... + 24192018.

Almost surely, 2^895104000 is an apocalyptic number.

895104000 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 895104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941538560).

895104000 is an abundant number, since it is smaller than the sum of its proper divisors (2987973120).

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

895104000 is a wasteful number, since it uses less digits than its factorization.

895104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 895104000 is about 29918.2887211150. The cubic root of 895104000 is about 963.7354461912.

Adding to 895104000 its reverse (401598), we get a palindrome (895505598).

The spelling of 895104000 in words is "eight hundred ninety-five million, one hundred four thousand".