90478144 has 63 divisors (see below), whose sum is σ = 190593091. Its totient is φ = 42613760.

The previous prime is 90478139. The next prime is 90478169. The reversal of 90478144 is 44187409.

The square root of 90478144 is 9512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 23892544 + 66585600 = 4888^2 + 8160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2206764 + ... + 2206804.

Almost surely, 2^90478144 is an apocalyptic number.

90478144 is the 9512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90478144

90478144 is an abundant number, since it is smaller than the sum of its proper divisors (100114947).

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

90478144 is an equidigital number, since it uses as much as digits as its factorization.

90478144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The cubic root of 90478144 is about 448.9326870022.

The spelling of 90478144 in words is "ninety million, four hundred seventy-eight thousand, one hundred forty-four".