23613408 has 288 divisors, whose sum is σ = 89159616. Its totient is φ = 5750784.

The previous prime is 23613397. The next prime is 23613427. The reversal of 23613408 is 80431632.

It is a happy number.

23613408 is a `hidden beast` number, since 2 + 3 + 613 + 40 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445510 + ... + 445562.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 2^23613408 is an apocalyptic number.

23613408 is a gapful number since it is divisible by the number (28) 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 23613408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44579808).

23613408 is an abundant number, since it is smaller than the sum of its proper divisors (65546208).

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

23613408 is a wasteful number, since it uses less digits than its factorization.

23613408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23613408 is about 4859.3629212069. The cubic root of 23613408 is about 286.8927391597.

The spelling of 23613408 in words is "twenty-three million, six hundred thirteen thousand, four hundred eight".