653041740 has 144 divisors (see below), whose sum is σ = 2092541472. Its totient is φ = 151240704.

The previous prime is 653041709. The next prime is 653041751. The reversal of 653041740 is 47140356.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 653041698 and 653041707.

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 47 ways as a sum of consecutive naturals, for example, 223972 + ... + 226868.

It is an arithmetic number, because the mean of its divisors is an integer number (14531538).

Almost surely, 2^653041740 is an apocalyptic number.

653041740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653041740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046270736).

653041740 is an abundant number, since it is smaller than the sum of its proper divisors (1439499732).

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

653041740 is a wasteful number, since it uses less digits than its factorization.

653041740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 653041740 is about 25554.6813715217. The cubic root of 653041740 is about 867.5882205901.

The spelling of 653041740 in words is "six hundred fifty-three million, forty-one thousand, seven hundred forty".