895400640 has 168 divisors, whose sum is σ = 3155338368. Its totient is φ = 232919040.

The previous prime is 895400633. The next prime is 895400641. The reversal of 895400640 is 46004598.

895400640 is a `hidden beast` number, since 8 + 9 + 5 + 4 + 0 + 0 + 640 = 666.

It is a super-2 number, since 2×895400640² = 1603484612224819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 895400595 and 895400604.

It is not an unprimeable number, because it can be changed into a prime (895400641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114289 + ... + 121871.

It is an arithmetic number, because the mean of its divisors is an integer number (18781776).

Almost surely, 2^895400640 is an apocalyptic number.

895400640 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 895400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577669184).

895400640 is an abundant number, since it is smaller than the sum of its proper divisors (2259937728).

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

895400640 is a wasteful number, since it uses less digits than its factorization.

895400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7647 (or 7634 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 895400640 is about 29923.2458132469. The cubic root of 895400640 is about 963.8418959847.

The spelling of 895400640 in words is "eight hundred ninety-five million, four hundred thousand, six hundred forty".