8627920 has 120 divisors (see below), whose sum is σ = 24427008. Its totient is φ = 2822400.

The previous prime is 8627911. The next prime is 8627939. The reversal of 8627920 is 297268.

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, 121485 + ... + 121555.

Almost surely, 2^8627920 is an apocalyptic number.

8627920 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 8627920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12213504).

8627920 is an abundant number, since it is smaller than the sum of its proper divisors (15799088).

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

8627920 is a wasteful number, since it uses less digits than its factorization.

8627920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 8627920 is about 2937.3321228625. The cubic root of 8627920 is about 205.1014370092.

The spelling of 8627920 in words is "eight million, six hundred twenty-seven thousand, nine hundred twenty".