657411216 has 160 divisors (see below), whose sum is σ = 2242142208. Its totient is φ = 160696320.

The previous prime is 657411187. The next prime is 657411241. The reversal of 657411216 is 612114756.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57601 + ... + 68063.

Almost surely, 2^657411216 is an apocalyptic number.

657411216 is a gapful number since it is divisible by the number (66) 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 657411216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121071104).

657411216 is an abundant number, since it is smaller than the sum of its proper divisors (1584730992).

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

657411216 is a wasteful number, since it uses less digits than its factorization.

657411216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10509 (or 10503 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 657411216 is about 25640.0315132412. The cubic root of 657411216 is about 869.5189201826.

The spelling of 657411216 in words is "six hundred fifty-seven million, four hundred eleven thousand, two hundred sixteen".