23585120 has 192 divisors, whose sum is σ = 68584320. Its totient is φ = 7569408.

The previous prime is 23585087. The next prime is 23585123. The reversal of 23585120 is 2158532.

23585120 = T₄₆₁ + T₄₆₂ + ... + T₆₂₀.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 23585120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23585123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813266 + ... + 813294.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 2^23585120 is an apocalyptic number.

23585120 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 23585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292160).

23585120 is an abundant number, since it is smaller than the sum of its proper divisors (44999200).

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

23585120 is a wasteful number, since it uses less digits than its factorization.

23585120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 23585120 is about 4856.4513793510. The cubic root of 23585120 is about 286.7781310423.

The spelling of 23585120 in words is "twenty-three million, five hundred eighty-five thousand, one hundred twenty".