45168 has 20 divisors (see below), whose sum is σ = 116808. Its totient is φ = 15040.

The previous prime is 45161. The next prime is 45179. The reversal of 45168 is 86154.

45168 = T₆₇ + T₆₈ + ... + T₈₂.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45161) by changing a digit.

45168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 423 + ... + 518.

2⁴⁵¹⁶⁸ is an apocalyptic number.

45168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45168 is an abundant number, since it is smaller than the sum of its proper divisors (71640).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58404).

45168 is a wasteful number, since it uses less digits than its factorization.

45168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 45168 is about 212.5276452606. The cubic root of 45168 is about 35.6131416364.

The spelling of 45168 in words is "forty-five thousand, one hundred sixty-eight".