657243216 has 120 divisors (see below), whose sum is σ = 2193609600. Its totient is φ = 179612928.

The previous prime is 657243203. The next prime is 657243263. The reversal of 657243216 is 612342756.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9010 + ... + 37358.

It is an arithmetic number, because the mean of its divisors is an integer number (18280080).

Almost surely, 2^657243216 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 657243216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096804800).

657243216 is an abundant number, since it is smaller than the sum of its proper divisors (1536366384).

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

657243216 is a wasteful number, since it uses less digits than its factorization.

657243216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28393 (or 28384 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 657243216 is about 25636.7551768940. The cubic root of 657243216 is about 869.4448459856. Note that the first 3 decimals are identical.

The spelling of 657243216 in words is "six hundred fifty-seven million, two hundred forty-three thousand, two hundred sixteen".