64168416 has 192 divisors, whose sum is σ = 209563200. Its totient is φ = 18966528.

The previous prime is 64168411. The next prime is 64168441. The reversal of 64168416 is 61486146.

64168416 is a `hidden beast` number, since 641 + 6 + 8 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×64168416² = 8235171223898112, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64168411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325630 + ... + 325826.

It is an arithmetic number, because the mean of its divisors is an integer number (1091475).

Almost surely, 2^64168416 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 64168416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104781600).

64168416 is an abundant number, since it is smaller than the sum of its proper divisors (145394784).

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

64168416 is a wasteful number, since it uses less digits than its factorization.

64168416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 64168416 is about 8010.5190843041. The cubic root of 64168416 is about 400.3505593473.

The spelling of 64168416 in words is "sixty-four million, one hundred sixty-eight thousand, four hundred sixteen".