168645672 has 256 divisors, whose sum is σ = 554400000. Its totient is φ = 47029248.

The previous prime is 168645649. The next prime is 168645703. The reversal of 168645672 is 276546861.

168645672 is a `hidden beast` number, since 1 + 6 + 86 + 4 + 567 + 2 = 666.

It is a super-4 number, since 4×168645672⁴ (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1547154 + ... + 1547262.

It is an arithmetic number, because the mean of its divisors is an integer number (2165625).

Almost surely, 2^168645672 is an apocalyptic number.

168645672 is a gapful number since it is divisible by the number (12) 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 168645672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277200000).

168645672 is an abundant number, since it is smaller than the sum of its proper divisors (385754328).

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

168645672 is a wasteful number, since it uses less digits than its factorization.

168645672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 168645672 is about 12986.3648493333. The cubic root of 168645672 is about 552.4908205378.

The spelling of 168645672 in words is "one hundred sixty-eight million, six hundred forty-five thousand, six hundred seventy-two".