653924040 has 512 divisors, whose sum is σ = 2717245440. Its totient is φ = 121651200.

The previous prime is 653924009. The next prime is 653924059. The reversal of 653924040 is 40429356.

653924040 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 (33).

It is a junction number, because it is equal to n+sod(n) for n = 653923992 and 653924010.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3612750 + ... + 3612930.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2^653924040 is an apocalyptic number.

653924040 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 653924040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358622720).

653924040 is an abundant number, since it is smaller than the sum of its proper divisors (2063321400).

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

653924040 is a wasteful number, since it uses less digits than its factorization.

653924040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 653924040 is about 25571.9385264395. The cubic root of 653924040 is about 867.9787666378.

The spelling of 653924040 in words is "six hundred fifty-three million, nine hundred twenty-four thousand, forty".