23084160 has 128 divisors (see below), whose sum is σ = 80343360. Its totient is φ = 5591040.

The previous prime is 23084153. The next prime is 23084161. The reversal of 23084160 is 6148032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23084160.

It is not an unprimeable number, because it can be changed into a prime (23084161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20574 + ... + 21666.

Almost surely, 2^23084160 is an apocalyptic number.

23084160 is a gapful number since it is divisible by the number (20) 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 23084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40171680).

23084160 is an abundant number, since it is smaller than the sum of its proper divisors (57259200).

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

23084160 is a wasteful number, since it uses less digits than its factorization.

23084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 23084160 is about 4804.5977979431. The cubic root of 23084160 is about 284.7331451037.

The spelling of 23084160 in words is "twenty-three million, eighty-four thousand, one hundred sixty".