895915020 has 288 divisors, whose sum is σ = 3429893376. Its totient is φ = 171763200.

The previous prime is 895914979. The next prime is 895915043. The reversal of 895915020 is 20519598.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 895915020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419355 + ... + 421485.

It is an arithmetic number, because the mean of its divisors is an integer number (11909352).

Almost surely, 2^895915020 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 895915020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714946688).

895915020 is an abundant number, since it is smaller than the sum of its proper divisors (2533978356).

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

895915020 is a wasteful number, since it uses less digits than its factorization.

895915020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 895915020 is about 29931.8395692614. The cubic root of 895915020 is about 964.0264264491.

The spelling of 895915020 in words is "eight hundred ninety-five million, nine hundred fifteen thousand, twenty".