110670 has 64 divisors (see below), whose sum is σ = 331776. Its totient is φ = 23040.

The previous prime is 110651. The next prime is 110681. The reversal of 110670 is 76011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 110670.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3555 + ... + 3585.

It is an arithmetic number, because the mean of its divisors is an integer number (5184).

2¹¹⁰⁶⁷⁰ is an apocalyptic number.

110670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165888).

110670 is an abundant number, since it is smaller than the sum of its proper divisors (221106).

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

110670 is a wasteful number, since it uses less digits than its factorization.

110670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 110670 is about 332.6710086557. The cubic root of 110670 is about 48.0112820702.

Adding to 110670 its sum of digits (15), we get a triangular number (110685 = T₄₇₀).

Adding to 110670 its reverse (76011), we get a palindrome (186681).

It can be divided in two parts, 1106 and 70, that added together give a triangular number (1176 = T₄₈).

The spelling of 110670 in words is "one hundred ten thousand, six hundred seventy".