24733968 has 40 divisors (see below), whose sum is σ = 73025088. Its totient is φ = 7066752.

The previous prime is 24733957. The next prime is 24733981. The reversal of 24733968 is 86933742.

It is a super-2 number, since 2×24733968² = 1223538346050048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36471 + ... + 37142.

Almost surely, 2^24733968 is an apocalyptic number.

24733968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

24733968 is an abundant number, since it is smaller than the sum of its proper divisors (48291120).

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

24733968 is a wasteful number, since it uses less digits than its factorization.

24733968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73631 (or 73625 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 24733968 is about 4973.3256478940. The cubic root of 24733968 is about 291.3608965724.

It can be divided in two parts, 2473 and 3968, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 24733968 in words is "twenty-four million, seven hundred thirty-three thousand, nine hundred sixty-eight".