8364672 has 96 divisors (see below), whose sum is σ = 24703380. Its totient is φ = 2715648.

The previous prime is 8364649. The next prime is 8364689. The reversal of 8364672 is 2764638.

8364672 is a `hidden beast` number, since 8 + 3 + 646 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8156736 + 207936 = 2856^2 + 456^2 .

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 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 11 ways as a sum of consecutive naturals, for example, 60988 + ... + 61124.

Almost surely, 2^8364672 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 8364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12351690).

8364672 is an abundant number, since it is smaller than the sum of its proper divisors (16338708).

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

8364672 is a wasteful number, since it uses less digits than its factorization.

8364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 8364672 is about 2892.1742686083. The cubic root of 8364672 is about 202.9938927361.

The spelling of 8364672 in words is "eight million, three hundred sixty-four thousand, six hundred seventy-two".