895973040 has 120 divisors (see below), whose sum is σ = 3014801088. Its totient is φ = 238464000.

The previous prime is 895973017. The next prime is 895973051. The reversal of 895973040 is 40379598.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539892 + ... + 541548.

Almost surely, 2^895973040 is an apocalyptic number.

895973040 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 895973040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507400544).

895973040 is an abundant number, since it is smaller than the sum of its proper divisors (2118828048).

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

895973040 is a wasteful number, since it uses less digits than its factorization.

895973040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 895973040 is about 29932.8087556113. The cubic root of 895973040 is about 964.0472363119.

The spelling of 895973040 in words is "eight hundred ninety-five million, nine hundred seventy-three thousand, forty".