653571072 has 352 divisors, whose sum is σ = 2421027840. Its totient is φ = 169205760.

The previous prime is 653571031. The next prime is 653571077. The reversal of 653571072 is 270175356.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653571077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128743 + ... + 2129049.

It is an arithmetic number, because the mean of its divisors is an integer number (6877920).

Almost surely, 2^653571072 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 653571072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210513920).

653571072 is an abundant number, since it is smaller than the sum of its proper divisors (1767456768).

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

653571072 is a wasteful number, since it uses less digits than its factorization.

653571072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 653571072 is about 25565.0361235810. The cubic root of 653571072 is about 867.8225691542.

The spelling of 653571072 in words is "six hundred fifty-three million, five hundred seventy-one thousand, seventy-two".