23649840 has 80 divisors (see below), whose sum is σ = 81468000. Its totient is φ = 6306048.

The previous prime is 23649827. The next prime is 23649841. The reversal of 23649840 is 4894632.

It is a happy number.

23649840 is a `hidden beast` number, since 2 + 3 + 649 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 23649795 and 23649804.

It is not an unprimeable number, because it can be changed into a prime (23649841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3315 + ... + 7634.

It is an arithmetic number, because the mean of its divisors is an integer number (1018350).

Almost surely, 2^23649840 is an apocalyptic number.

23649840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23649840 is an abundant number, since it is smaller than the sum of its proper divisors (57818160).

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

23649840 is a wasteful number, since it uses less digits than its factorization.

23649840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10971 (or 10959 counting only the distinct ones).

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

The square root of 23649840 is about 4863.1101159649. The cubic root of 23649840 is about 287.0402077156.

The spelling of 23649840 in words is "twenty-three million, six hundred forty-nine thousand, eight hundred forty".