8964120 has 64 divisors (see below), whose sum is σ = 29341440. Its totient is φ = 2172800.

The previous prime is 8964119. The next prime is 8964121. The reversal of 8964120 is 214698.

It is an interprime number because it is at equal distance from previous prime (8964119) and next prime (8964121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8964121) by changing a digit.

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, 2076 + ... + 4715.

It is an arithmetic number, because the mean of its divisors is an integer number (458460).

Almost surely, 2^8964120 is an apocalyptic number.

It is an amenable number.

8964120 is an abundant number, since it is smaller than the sum of its proper divisors (20377320).

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

8964120 is a wasteful number, since it uses less digits than its factorization.

8964120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816 (or 6812 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 8964120 is about 2994.0140280232. The cubic root of 8964120 is about 207.7315941299.

The spelling of 8964120 in words is "eight million, nine hundred sixty-four thousand, one hundred twenty".