8940672 has 128 divisors (see below), whose sum is σ = 28560000. Its totient is φ = 2737152.

The previous prime is 8940649. The next prime is 8940707. The reversal of 8940672 is 2760498.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×8940672³ (a number of 22 digits) contains 333 as substring.

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44829 + ... + 45027.

It is an arithmetic number, because the mean of its divisors is an integer number (223125).

Almost surely, 2^8940672 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 8940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14280000).

8940672 is an abundant number, since it is smaller than the sum of its proper divisors (19619328).

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

8940672 is a wasteful number, since it uses less digits than its factorization.

8940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8940672 is about 2990.0956506440. The cubic root of 8940672 is about 207.5503105374.

The spelling of 8940672 in words is "eight million, nine hundred forty thousand, six hundred seventy-two".