24668064 has 120 divisors (see below), whose sum is σ = 75132288. Its totient is φ = 7931520.

The previous prime is 24668053. The next prime is 24668069. The reversal of 24668064 is 46086642.

24668064 = 877² + 878² + ... + 907².

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (24668069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80199 + ... + 80505.

Almost surely, 2^24668064 is an apocalyptic number.

24668064 is a gapful number since it is divisible by the number (24) 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 24668064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37566144).

24668064 is an abundant number, since it is smaller than the sum of its proper divisors (50464224).

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

24668064 is a wasteful number, since it uses less digits than its factorization.

24668064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 24668064 is about 4966.6954809008. The cubic root of 24668064 is about 291.1018880118.

The spelling of 24668064 in words is "twenty-four million, six hundred sixty-eight thousand, sixty-four".