8671920 has 80 divisors (see below), whose sum is σ = 28069632. Its totient is φ = 2210560.

The previous prime is 8671919. The next prime is 8671937. The reversal of 8671920 is 291768.

8671920 = 603² + 604² + ... + 625².

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4735 + ... + 6305.

Almost surely, 2^8671920 is an apocalyptic number.

8671920 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 8671920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034816).

8671920 is an abundant number, since it is smaller than the sum of its proper divisors (19397712).

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

8671920 is a wasteful number, since it uses less digits than its factorization.

8671920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 8671920 is about 2944.8123879120. The cubic root of 8671920 is about 205.4494994928.

It can be divided in two parts, 8671 and 920, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 8671920 in words is "eight million, six hundred seventy-one thousand, nine hundred twenty".