8901424 has 80 divisors (see below), whose sum is σ = 21427200. Its totient is φ = 3497472.

The previous prime is 8901413. The next prime is 8901461. The reversal of 8901424 is 4241098.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 8901392 and 8901401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99972 + ... + 100060.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 2^8901424 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 8901424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713600).

8901424 is an abundant number, since it is smaller than the sum of its proper divisors (12525776).

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

8901424 is a wasteful number, since it uses less digits than its factorization.

8901424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 8901424 is about 2983.5254314317. The cubic root of 8901424 is about 207.2461617557.

The spelling of 8901424 in words is "eight million, nine hundred one thousand, four hundred twenty-four".