90738090 has 64 divisors (see below), whose sum is σ = 244944000. Its totient is φ = 23899392.

The previous prime is 90738083. The next prime is 90738101. The reversal of 90738090 is 9083709.

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, 20386 + ... + 24434.

It is an arithmetic number, because the mean of its divisors is an integer number (3827250).

Almost surely, 2^90738090 is an apocalyptic number.

90738090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90738090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122472000).

90738090 is an abundant number, since it is smaller than the sum of its proper divisors (154205910).

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

90738090 is a wasteful number, since it uses less digits than its factorization.

90738090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 90738090 is about 9525.6543082352. The cubic root of 90738090 is about 449.3622075845.

The spelling of 90738090 in words is "ninety million, seven hundred thirty-eight thousand, ninety".