653085966 has 96 divisors (see below), whose sum is σ = 1514080512. Its totient is φ = 187249920.

The previous prime is 653085941. The next prime is 653085967. The reversal of 653085966 is 669580356.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653085967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 955861 + ... + 956543.

It is an arithmetic number, because the mean of its divisors is an integer number (15771672).

Almost surely, 2^653085966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653085966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757040256).

653085966 is an abundant number, since it is smaller than the sum of its proper divisors (860994546).

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

653085966 is a wasteful number, since it uses less digits than its factorization.

653085966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 653085966 is about 25555.5466777762. The cubic root of 653085966 is about 867.6078053977.

The spelling of 653085966 in words is "six hundred fifty-three million, eighty-five thousand, nine hundred sixty-six".