8973408 has 48 divisors (see below), whose sum is σ = 23720256. Its totient is φ = 2970240.

The previous prime is 8973407. The next prime is 8973409. The reversal of 8973408 is 8043798.

It is an interprime number because it is at equal distance from previous prime (8973407) and next prime (8973409).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×8973408² = 161044102268928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8973401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20035 + ... + 20477.

It is an arithmetic number, because the mean of its divisors is an integer number (494172).

Almost surely, 2^8973408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8973408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11860128).

8973408 is an abundant number, since it is smaller than the sum of its proper divisors (14746848).

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

8973408 is a wasteful number, since it uses less digits than its factorization.

8973408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 8973408 is about 2995.5647213839. The cubic root of 8973408 is about 207.8033150594.

The spelling of 8973408 in words is "eight million, nine hundred seventy-three thousand, four hundred eight".