895968920 has 192 divisors, whose sum is σ = 2648311200. Its totient is φ = 269445120.

The previous prime is 895968911. The next prime is 895968923. The reversal of 895968920 is 29869598.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895968923) 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, 624524 + ... + 625956.

Almost surely, 2^895968920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 895968920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324155600).

895968920 is an abundant number, since it is smaller than the sum of its proper divisors (1752342280).

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

895968920 is a wasteful number, since it uses less digits than its factorization.

895968920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 56.

The square root of 895968920 is about 29932.7399347270. The cubic root of 895968920 is about 964.0457586332.

The spelling of 895968920 in words is "eight hundred ninety-five million, nine hundred sixty-eight thousand, nine hundred twenty".