7296864 has 48 divisors (see below), whose sum is σ = 19822320. Its totient is φ = 2347520.

The previous prime is 7296857. The next prime is 7296869. The reversal of 7296864 is 4686927.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 7³ + 2¹⁷ + 9⁷ + 6⁴ + 8⁷ + 6⁷ + 4⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7296869) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1474 + ... + 4094.

It is an arithmetic number, because the mean of its divisors is an integer number (412965).

Almost surely, 2^7296864 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 7296864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9911160).

7296864 is an abundant number, since it is smaller than the sum of its proper divisors (12525456).

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

7296864 is a wasteful number, since it uses less digits than its factorization.

7296864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2655 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 7296864 is about 2701.2708120438. The cubic root of 7296864 is about 193.9599591434.

The spelling of 7296864 in words is "seven million, two hundred ninety-six thousand, eight hundred sixty-four".