5653120 has 96 divisors (see below), whose sum is σ = 15058260. Its totient is φ = 2027520.

The previous prime is 5653111. The next prime is 5653133. The reversal of 5653120 is 213565.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5645376 + 7744 = 2376^2 + 88^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 5653091 and 5653100.

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 11 ways as a sum of consecutive naturals, for example, 77404 + ... + 77476.

Almost surely, 2^5653120 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 5653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529130).

5653120 is an abundant number, since it is smaller than the sum of its proper divisors (9405140).

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

5653120 is a wasteful number, since it uses less digits than its factorization.

5653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 5653120 is about 2377.6290711547. The cubic root of 5653120 is about 178.1405278348.

Adding to 5653120 its reverse (213565), we get a palindrome (5866685).

The spelling of 5653120 in words is "five million, six hundred fifty-three thousand, one hundred twenty".