8895925440 has 280 divisors, whose sum is σ = 31755844032. Its totient is φ = 2363904000.

The previous prime is 8895925361. The next prime is 8895925453. The reversal of 8895925440 is 445295988.

It is a happy number.

8895925440 is a `hidden beast` number, since 8 + 8 + 9 + 5 + 92 + 544 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11845065 + ... + 11845815.

Almost surely, 2^8895925440 is an apocalyptic number.

8895925440 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 8895925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15877922016).

8895925440 is an abundant number, since it is smaller than the sum of its proper divisors (22859918592).

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

8895925440 is a wasteful number, since it uses less digits than its factorization.

8895925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 8895925440 is about 94318.2137235433. The cubic root of 8895925440 is about 2072.0347981415.

The spelling of 8895925440 in words is "eight billion, eight hundred ninety-five million, nine hundred twenty-five thousand, four hundred forty".