24720864 has 48 divisors (see below), whose sum is σ = 74164608. Its totient is φ = 7062912.

The previous prime is 24720859. The next prime is 24720877. The reversal of 24720864 is 46802742.

24720864 = T₈₂ + T₈₃ + ... + T₅₂₉.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×24720864² = 1222242233812992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17722 + ... + 19065.

It is an arithmetic number, because the mean of its divisors is an integer number (1545096).

Almost surely, 2^24720864 is an apocalyptic number.

24720864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

24720864 is an abundant number, since it is smaller than the sum of its proper divisors (49443744).

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

24720864 is a wasteful number, since it uses less digits than its factorization.

24720864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36807 (or 36799 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 24720864 is about 4972.0080450458. The cubic root of 24720864 is about 291.3094333695.

The spelling of 24720864 in words is "twenty-four million, seven hundred twenty thousand, eight hundred sixty-four".