23545000 has 80 divisors (see below), whose sum is σ = 58621860. Its totient is φ = 8832000.

The previous prime is 23544973. The next prime is 23545043. The reversal of 23545000 is 54532.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2256004 + 21288996 = 1502^2 + 4614^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84862 + ... + 85138.

Almost surely, 2^23545000 is an apocalyptic number.

23545000 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 23545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29310930).

23545000 is an abundant number, since it is smaller than the sum of its proper divisors (35076860).

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

23545000 is a wasteful number, since it uses less digits than its factorization.

23545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 23545000 is about 4852.3190332046. The cubic root of 23545000 is about 286.6154286166.

Adding to 23545000 its reverse (54532), we get a palindrome (23599532).

The spelling of 23545000 in words is "twenty-three million, five hundred forty-five thousand".