8900605440 has 240 divisors, whose sum is σ = 31265204256. Its totient is φ = 2339635200.

The previous prime is 8900605429. The next prime is 8900605463. The reversal of 8900605440 is 445060098.

8900605440 is a `hidden beast` number, since 8 + 9 + 0 + 0 + 605 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 8900605395 and 8900605404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1633120 + ... + 1638560.

Almost surely, 2^8900605440 is an apocalyptic number.

8900605440 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 8900605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15632602128).

8900605440 is an abundant number, since it is smaller than the sum of its proper divisors (22364598816).

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

8900605440 is a wasteful number, since it uses less digits than its factorization.

8900605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541 (or 5522 counting only the distinct ones).

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

The square root of 8900605440 is about 94343.0200915786. The cubic root of 8900605440 is about 2072.3980889132.

The spelling of 8900605440 in words is "eight billion, nine hundred million, six hundred five thousand, four hundred forty".