895151040 has 224 divisors, whose sum is σ = 3353677824. Its totient is φ = 197959680.

The previous prime is 895151029. The next prime is 895151041. The reversal of 895151040 is 40151598.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 895150992 and 895151010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (895151041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206172 + ... + 210468.

It is an arithmetic number, because the mean of its divisors is an integer number (14971776).

Almost surely, 2^895151040 is an apocalyptic number.

895151040 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 895151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676838912).

895151040 is an abundant number, since it is smaller than the sum of its proper divisors (2458526784).

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

895151040 is a wasteful number, since it uses less digits than its factorization.

895151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 895151040 is about 29919.0748520070. The cubic root of 895151040 is about 963.7523281481.

The spelling of 895151040 in words is "eight hundred ninety-five million, one hundred fifty-one thousand, forty".