895893264 has 120 divisors (see below), whose sum is σ = 2991460320. Its totient is φ = 255963456.

The previous prime is 895893253. The next prime is 895893277. The reversal of 895893264 is 462398598.

895893264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 895893264.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7 + ... + 42329.

It is an arithmetic number, because the mean of its divisors is an integer number (24928836).

Almost surely, 2^895893264 is an apocalyptic number.

895893264 is a gapful number since it is divisible by the number (84) 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 895893264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495730160).

895893264 is an abundant number, since it is smaller than the sum of its proper divisors (2095567056).

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

895893264 is a wasteful number, since it uses less digits than its factorization.

895893264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42354 (or 42335 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 895893264 is about 29931.4761413466. The cubic root of 895893264 is about 964.0186230570.

The spelling of 895893264 in words is "eight hundred ninety-five million, eight hundred ninety-three thousand, two hundred sixty-four".