23053120 has 56 divisors (see below), whose sum is σ = 55842408. Its totient is φ = 9062400.

The previous prime is 23053103. The next prime is 23053141. The reversal of 23053120 is 2135032.

It can be written as a sum of positive squares in 4 ways, for example, as 1597696 + 21455424 = 1264^2 + 4632^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23053094 and 23053103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18930 + ... + 20110.

Almost surely, 2^23053120 is an apocalyptic number.

23053120 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 23053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27921204).

23053120 is an abundant number, since it is smaller than the sum of its proper divisors (32789288).

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

23053120 is a wasteful number, since it uses less digits than its factorization.

23053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 23053120 is about 4801.3664721619. The cubic root of 23053120 is about 284.6054661937.

Adding to 23053120 its reverse (2135032), we get a palindrome (25188152).

The spelling of 23053120 in words is "twenty-three million, fifty-three thousand, one hundred twenty".