8741664 has 72 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 2878848.

The previous prime is 8741641. The next prime is 8741683. The reversal of 8741664 is 4661478.

It is a tau number, because it is divible by the number of its divisors (72).

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

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, 36457 + ... + 36695.

It is an arithmetic number, because the mean of its divisors is an integer number (349440).

Almost surely, 2^8741664 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 8741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

8741664 is an abundant number, since it is smaller than the sum of its proper divisors (16418016).

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

8741664 is a wasteful number, since it uses less digits than its factorization.

8741664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

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

The square root of 8741664 is about 2956.6305146230. The cubic root of 8741664 is about 205.9988060383.

The spelling of 8741664 in words is "eight million, seven hundred forty-one thousand, six hundred sixty-four".