3120864 has 96 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 935424.

The previous prime is 3120857. The next prime is 3120881. The reversal of 3120864 is 4680213.

It is a happy number.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52867 + ... + 52925.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

Almost surely, 2^3120864 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 3120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

3120864 is an abundant number, since it is smaller than the sum of its proper divisors (5951136).

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

3120864 is a wasteful number, since it uses less digits than its factorization.

3120864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3120864 is about 1766.5967281754. The cubic root of 3120864 is about 146.1363585014.

The spelling of 3120864 in words is "three million, one hundred twenty thousand, eight hundred sixty-four".