90642084 has 96 divisors (see below), whose sum is σ = 244702080. Its totient is φ = 25878528.

The previous prime is 90642073. The next prime is 90642121. The reversal of 90642084 is 48024609.

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 31 ways as a sum of consecutive naturals, for example, 156804 + ... + 157380.

It is an arithmetic number, because the mean of its divisors is an integer number (2548980).

Almost surely, 2^90642084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90642084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122351040).

90642084 is an abundant number, since it is smaller than the sum of its proper divisors (154059996).

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

90642084 is a wasteful number, since it uses less digits than its factorization.

90642084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 90642084 is about 9520.6136356855. The cubic root of 90642084 is about 449.2036681647.

The spelling of 90642084 in words is "ninety million, six hundred forty-two thousand, eighty-four".