64146168 has 112 divisors (see below), whose sum is σ = 191231280. Its totient is φ = 20093184.

The previous prime is 64146167. The next prime is 64146169. The reversal of 64146168 is 86164146.

64146168 is a `hidden beast` number, since 641 + 4 + 6 + 1 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (64146167) and next prime (64146169).

It is a super-2 number, since 2×64146168² = 8229461738168448, 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 (64146167) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 98821 + ... + 99467.

Almost surely, 2^64146168 is an apocalyptic number.

64146168 is a gapful number since it is divisible by the number (68) 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 64146168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95615640).

64146168 is an abundant number, since it is smaller than the sum of its proper divisors (127085112).

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

64146168 is a wasteful number, since it uses less digits than its factorization.

64146168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 669 counting only the distinct ones).

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

The square root of 64146168 is about 8009.1302898629. The cubic root of 64146168 is about 400.3042851344.

The spelling of 64146168 in words is "sixty-four million, one hundred forty-six thousand, one hundred sixty-eight".