23649408 has 80 divisors (see below), whose sum is σ = 70411110. Its totient is φ = 7879680.

The previous prime is 23649407. The next prime is 23649419. The reversal of 23649408 is 80494632.

It is a happy number.

23649408 is a `hidden beast` number, since 2 + 3 + 649 + 4 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19289664 + 4359744 = 4392^2 + 2088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (23649407) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9228 + ... + 11508.

Almost surely, 2^23649408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35205555).

23649408 is an abundant number, since it is smaller than the sum of its proper divisors (46761702).

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

23649408 is an equidigital number, since it uses as much as digits as its factorization.

23649408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 23649408 is about 4863.0656997413. The cubic root of 23649408 is about 287.0384599642.

The spelling of 23649408 in words is "twenty-three million, six hundred forty-nine thousand, four hundred eight".