90075042 has 18 divisors (see below), whose sum is σ = 195249873. Its totient is φ = 30011592.

The previous prime is 90074987. The next prime is 90075043. The reversal of 90075042 is 24057009.

It can be written as a sum of positive squares in 2 ways, for example, as 81378441 + 8696601 = 9021^2 + 2949^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6711.

It is a super-2 number, since 2×90075042² = 16227026382603528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90074997 and 90075015.

It is not an unprimeable number, because it can be changed into a prime (90075043) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39148 + ... + 41384.

Almost surely, 2^90075042 is an apocalyptic number.

90075042 is an abundant number, since it is smaller than the sum of its proper divisors (105174831).

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

90075042 is an equidigital number, since it uses as much as digits as its factorization.

90075042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 90075042 is about 9490.7872170858. The cubic root of 90075042 is about 448.2649932302.

The spelling of 90075042 in words is "ninety million, seventy-five thousand, forty-two".