8764416 has 88 divisors (see below), whose sum is σ = 26037840. Its totient is φ = 2912256.

The previous prime is 8764387. The next prime is 8764423. The reversal of 8764416 is 6144678.

8764416 is a `hidden beast` number, since 8 + 7 + 644 + 1 + 6 = 666.

8764416 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27490 + ... + 27806.

Almost surely, 2^8764416 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 8764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13018920).

8764416 is an abundant number, since it is smaller than the sum of its proper divisors (17273424).

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

8764416 is a wasteful number, since it uses less digits than its factorization.

8764416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 322 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 8764416 is about 2960.4756374610. The cubic root of 8764416 is about 206.1773694676.

It can be divided in two parts, 8764 and 416, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 8764416 in words is "eight million, seven hundred sixty-four thousand, four hundred sixteen".