8683920 has 120 divisors (see below), whose sum is σ = 33349056. Its totient is φ = 1983744.

The previous prime is 8683907. The next prime is 8683933. The reversal of 8683920 is 293868.

It is an interprime number because it is at equal distance from previous prime (8683907) and next prime (8683933).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4179 + ... + 5901.

Almost surely, 2^8683920 is an apocalyptic number.

8683920 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 8683920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16674528).

8683920 is an abundant number, since it is smaller than the sum of its proper divisors (24665136).

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

8683920 is a wasteful number, since it uses less digits than its factorization.

8683920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8683920 is about 2946.8491647860. The cubic root of 8683920 is about 205.5442212185.

The spelling of 8683920 in words is "eight million, six hundred eighty-three thousand, nine hundred twenty".