1107168 has 48 divisors (see below), whose sum is σ = 3064320. Its totient is φ = 349056.

The previous prime is 1107167. The next prime is 1107173. The reversal of 1107168 is 8617011.

It is a tau number, because it is divible by the number of its divisors (48).

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 (1107167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1521 + ... + 2127.

It is an arithmetic number, because the mean of its divisors is an integer number (63840).

2^1107168 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 1107168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532160).

1107168 is an abundant number, since it is smaller than the sum of its proper divisors (1957152).

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

1107168 is a wasteful number, since it uses less digits than its factorization.

1107168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 1107168 is about 1052.2205092090. The cubic root of 1107168 is about 103.4517500136.

It can be divided in two parts, 1107 and 168, that added together give a triangular number (1275 = T₅₀).

The spelling of 1107168 in words is "one million, one hundred seven thousand, one hundred sixty-eight".