24920064 has 135 divisors (see below), whose sum is σ = 77952693. Its totient is φ = 7667712.

The previous prime is 24920057. The next prime is 24920081. The reversal of 24920064 is 46002942.

The square root of 24920064 is 4992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3686400 + 21233664 = 1920^2 + 4608^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1916922 + ... + 1916934.

Almost surely, 2^24920064 is an apocalyptic number.

24920064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

24920064 is the 4992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24920064

24920064 is an abundant number, since it is smaller than the sum of its proper divisors (53032629).

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

24920064 is an equidigital number, since it uses as much as digits as its factorization.

24920064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 18 counting only the distinct ones).

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

The cubic root of 24920064 is about 292.0897953646.

The spelling of 24920064 in words is "twenty-four million, nine hundred twenty thousand, sixty-four".