65457216 has 84 divisors (see below), whose sum is σ = 204697584. Its totient is φ = 19833600.

The previous prime is 65457211. The next prime is 65457233. The reversal of 65457216 is 61275456.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (65457211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1171 + ... + 11501.

It is an arithmetic number, because the mean of its divisors is an integer number (2436876).

Almost surely, 2^65457216 is an apocalyptic number.

65457216 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 65457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102348792).

65457216 is an abundant number, since it is smaller than the sum of its proper divisors (139240368).

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

65457216 is a wasteful number, since it uses less digits than its factorization.

65457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10360 (or 10347 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 65457216 is about 8090.5633920018. The cubic root of 65457216 is about 403.0131125576.

The spelling of 65457216 in words is "sixty-five million, four hundred fifty-seven thousand, two hundred sixteen".