8906640 has 160 divisors (see below), whose sum is σ = 30533760. Its totient is φ = 2138112.

The previous prime is 8906629. The next prime is 8906659. The reversal of 8906640 is 466098.

8906640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150931 + ... + 150989.

It is an arithmetic number, because the mean of its divisors is an integer number (190836).

Almost surely, 2^8906640 is an apocalyptic number.

8906640 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 8906640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266880).

8906640 is an abundant number, since it is smaller than the sum of its proper divisors (21627120).

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

8906640 is a wasteful number, since it uses less digits than its factorization.

8906640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 8906640 is about 2984.3994370727. The cubic root of 8906640 is about 207.2866341155.

The spelling of 8906640 in words is "eight million, nine hundred six thousand, six hundred forty".