8467920 has 120 divisors (see below), whose sum is σ = 29983200. Its totient is φ = 2135808.

The previous prime is 8467903. The next prime is 8467951. The reversal of 8467920 is 297648.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 13371 + ... + 13989.

It is an arithmetic number, because the mean of its divisors is an integer number (249860).

Almost surely, 2^8467920 is an apocalyptic number.

8467920 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 8467920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14991600).

8467920 is an abundant number, since it is smaller than the sum of its proper divisors (21515280).

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

8467920 is a wasteful number, since it uses less digits than its factorization.

8467920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8467920 is about 2909.9690720006. The cubic root of 8467920 is about 203.8256873136.

The spelling of 8467920 in words is "eight million, four hundred sixty-seven thousand, nine hundred twenty".