23829120 has 256 divisors, whose sum is σ = 96940800. Its totient is φ = 5419008.

The previous prime is 23829107. The next prime is 23829161. The reversal of 23829120 is 2192832.

23829120 = T₁₂₀ + T₁₂₁ + ... + T₅₂₄.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 120862 + ... + 121058.

It is an arithmetic number, because the mean of its divisors is an integer number (378675).

Almost surely, 2^23829120 is an apocalyptic number.

23829120 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 23829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48470400).

23829120 is an abundant number, since it is smaller than the sum of its proper divisors (73111680).

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

23829120 is a wasteful number, since it uses less digits than its factorization.

23829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 23829120 is about 4881.5079637342. The cubic root of 23829120 is about 287.7636950529.

The spelling of 23829120 in words is "twenty-three million, eight hundred twenty-nine thousand, one hundred twenty".