653362848 has 144 divisors (see below), whose sum is σ = 1954907136. Its totient is φ = 214617600.

The previous prime is 653362847. The next prime is 653362849. The reversal of 653362848 is 848263356.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (653362847) and next prime (653362849).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×653362848² = 853766022293342208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (653362841) 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 23 ways as a sum of consecutive naturals, for example, 567073 + ... + 568223.

It is an arithmetic number, because the mean of its divisors is an integer number (13575744).

Almost surely, 2^653362848 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 653362848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977453568).

653362848 is an abundant number, since it is smaller than the sum of its proper divisors (1301544288).

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

653362848 is a wasteful number, since it uses less digits than its factorization.

653362848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1229 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 653362848 is about 25560.9633621270. The cubic root of 653362848 is about 867.7303982652.

The spelling of 653362848 in words is "six hundred fifty-three million, three hundred sixty-two thousand, eight hundred forty-eight".