7153664 has 48 divisors (see below), whose sum is σ = 16380000. Its totient is φ = 3059712.

The previous prime is 7153649. The next prime is 7153669. The reversal of 7153664 is 4663517.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 7⁸ + 1 + 5 + 3¹⁰ + 6⁴ + 6⁷ + 4¹⁰ .

It is a self number, because there is not a number n which added to its sum of digits gives 7153664.

It is not an unprimeable number, because it can be changed into a prime (7153669) 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 3 ways as a sum of consecutive naturals, for example, 14087 + ... + 14585.

It is an arithmetic number, because the mean of its divisors is an integer number (341250).

Almost surely, 2^7153664 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 7153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8190000).

7153664 is an abundant number, since it is smaller than the sum of its proper divisors (9226336).

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

7153664 is an equidigital number, since it uses as much as digits as its factorization.

7153664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 508 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 7153664 is about 2674.6334328278. The cubic root of 7153664 is about 192.6827544240.

It can be divided in two parts, 71 and 53664, that added together give a palindrome (53735).

The spelling of 7153664 in words is "seven million, one hundred fifty-three thousand, six hundred sixty-four".