653891616 has 288 divisors, whose sum is σ = 2265314688. Its totient is φ = 181647360.

The previous prime is 653891603. The next prime is 653891617. The reversal of 653891616 is 616198356.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653891617) by changing a digit.

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, 2231566 + ... + 2231858.

It is an arithmetic number, because the mean of its divisors is an integer number (7865676).

Almost surely, 2^653891616 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 653891616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132657344).

653891616 is an abundant number, since it is smaller than the sum of its proper divisors (1611423072).

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

653891616 is a wasteful number, since it uses less digits than its factorization.

653891616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 346 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 653891616 is about 25571.3045423967. The cubic root of 653891616 is about 867.9644205227.

The spelling of 653891616 in words is "six hundred fifty-three million, eight hundred ninety-one thousand, six hundred sixteen".