653628640 has 144 divisors (see below), whose sum is σ = 1808829792. Its totient is φ = 222544896.

The previous prime is 653628587. The next prime is 653628649. The reversal of 653628640 is 46826356.

It is a happy number.

653628640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 653628593 and 653628602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653628649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2061762 + ... + 2062078.

It is an arithmetic number, because the mean of its divisors is an integer number (12561318).

Almost surely, 2^653628640 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 653628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904414896).

653628640 is an abundant number, since it is smaller than the sum of its proper divisors (1155201152).

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

653628640 is a wasteful number, since it uses less digits than its factorization.

653628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 653628640 is about 25566.1620115339. The cubic root of 653628640 is about 867.8480483229.

The spelling of 653628640 in words is "six hundred fifty-three million, six hundred twenty-eight thousand, six hundred forty".