23415840 has 288 divisors, whose sum is σ = 96235776. Its totient is φ = 5068800.

The previous prime is 23415829. The next prime is 23415841. The reversal of 23415840 is 4851432.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23415841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231790 + ... + 231890.

It is an arithmetic number, because the mean of its divisors is an integer number (334152).

Almost surely, 2^23415840 is an apocalyptic number.

23415840 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 23415840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48117888).

23415840 is an abundant number, since it is smaller than the sum of its proper divisors (72819936).

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

23415840 is a wasteful number, since it uses less digits than its factorization.

23415840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 23415840 is about 4838.9916304949. The cubic root of 23415840 is about 286.0903752074.

The spelling of 23415840 in words is "twenty-three million, four hundred fifteen thousand, eight hundred forty".