895976640 has 280 divisors, whose sum is σ = 3433602480. Its totient is φ = 220465152.

The previous prime is 895976639. The next prime is 895976647. The reversal of 895976640 is 46679598.

895976640 is a `hidden beast` number, since 8 + 9 + 597 + 6 + 6 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (895976647) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 335631 + ... + 338289.

It is an arithmetic number, because the mean of its divisors is an integer number (12262866).

Almost surely, 2^895976640 is an apocalyptic number.

895976640 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 895976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716801240).

895976640 is an abundant number, since it is smaller than the sum of its proper divisors (2537625840).

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

895976640 is a wasteful number, since it uses less digits than its factorization.

895976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 895976640 is about 29932.8688902350. The cubic root of 895976640 is about 964.0485274837.

The spelling of 895976640 in words is "eight hundred ninety-five million, nine hundred seventy-six thousand, six hundred forty".