23201640 has 384 divisors, whose sum is σ = 100638720. Its totient is φ = 4665600.

The previous prime is 23201623. The next prime is 23201657. The reversal of 23201640 is 4610232.

It is a happy number.

23201640 is a `hidden beast` number, since 2 + 3 + 20 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (23201623) and next prime (23201657).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 748425 + ... + 748455.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^23201640 is an apocalyptic number.

23201640 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 23201640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319360).

23201640 is an abundant number, since it is smaller than the sum of its proper divisors (77437080).

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

23201640 is a wasteful number, since it uses less digits than its factorization.

23201640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23201640 is about 4816.8080717421. The cubic root of 23201640 is about 285.2153497034.

Adding to 23201640 its reverse (4610232), we get a palindrome (27811872).

The spelling of 23201640 in words is "twenty-three million, two hundred one thousand, six hundred forty".