110640 has 40 divisors (see below), whose sum is σ = 343728. Its totient is φ = 29440.

The previous prime is 110629. The next prime is 110641. The reversal of 110640 is 46011.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 110640.

It is not an unprimeable number, because it can be changed into a prime (110641) 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, 10 + ... + 470.

2¹¹⁰⁶⁴⁰ is an apocalyptic number.

110640 is a gapful number since it is divisible by the number (10) 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 110640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864).

110640 is an abundant number, since it is smaller than the sum of its proper divisors (233088).

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

110640 is a wasteful number, since it uses less digits than its factorization.

110640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 110640 is about 332.6259160078. The cubic root of 110640 is about 48.0069434400.

Multiplying 110640 by its product of nonzero digits (24), we get a triangular number (2655360 = T₂₃₀₄).

Adding to 110640 its reverse (46011), we get a palindrome (156651).

The spelling of 110640 in words is "one hundred ten thousand, six hundred forty".