90043968 has 168 divisors, whose sum is σ = 293961312. Its totient is φ = 24170496.

The previous prime is 90043931. The next prime is 90043969. The reversal of 90043968 is 86934009.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×90043968³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (90043969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159655 + ... + 160217.

Almost surely, 2^90043968 is an apocalyptic number.

90043968 is a gapful number since it is divisible by the number (98) 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 90043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146980656).

90043968 is an abundant number, since it is smaller than the sum of its proper divisors (203917344).

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

90043968 is a wasteful number, since it uses less digits than its factorization.

90043968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 90043968 is about 9489.1500146220. The cubic root of 90043968 is about 448.2134399616.

The spelling of 90043968 in words is "ninety million, forty-three thousand, nine hundred sixty-eight".