8385408 has 96 divisors (see below), whose sum is σ = 25061400. Its totient is φ = 2688000.

The previous prime is 8385397. The next prime is 8385427. The reversal of 8385408 is 8045838.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33283 + ... + 33533.

Almost surely, 2^8385408 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 8385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12530700).

8385408 is an abundant number, since it is smaller than the sum of its proper divisors (16675992).

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

8385408 is a wasteful number, since it uses less digits than its factorization.

8385408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8385408 is about 2895.7568958737. The cubic root of 8385408 is about 203.1614947603.

It can be divided in two parts, 83 and 85408, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 8385408 in words is "eight million, three hundred eighty-five thousand, four hundred eight".