8972416 has 32 divisors (see below), whose sum is σ = 18017280. Its totient is φ = 4450560.

The previous prime is 8972407. The next prime is 8972459. The reversal of 8972416 is 6142798.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24265 + ... + 24631.

It is an arithmetic number, because the mean of its divisors is an integer number (563040).

Almost surely, 2^8972416 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 8972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008640).

8972416 is an abundant number, since it is smaller than the sum of its proper divisors (9044864).

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

8972416 is a wasteful number, since it uses less digits than its factorization.

8972416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 560 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 8972416 is about 2995.3991386792. The cubic root of 8972416 is about 207.7956573042.

The spelling of 8972416 in words is "eight million, nine hundred seventy-two thousand, four hundred sixteen".