43296768 has 168 divisors, whose sum is σ = 134275050. Its totient is φ = 13934592.

The previous prime is 43296751. The next prime is 43296769. The reversal of 43296768 is 86769234.

It can be written as a sum of positive squares in only one way, i.e., 36578304 + 6718464 = 6048^2 + 2592^2 .

It is a super-2 number, since 2×43296768² = 3749220238491648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (43296769) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 1492978 + ... + 1493006.

Almost surely, 2^43296768 is an apocalyptic number.

43296768 is a gapful number since it is divisible by the number (48) 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 43296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67137525).

43296768 is an abundant number, since it is smaller than the sum of its proper divisors (90978282).

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

43296768 is an frugal number, since it uses more digits than its factorization.

43296768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 34 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 43296768 is about 6580.0279634664. The cubic root of 43296768 is about 351.1439251973.

The spelling of 43296768 in words is "forty-three million, two hundred ninety-six thousand, seven hundred sixty-eight".