90478152 has 108 divisors (see below), whose sum is σ = 263078595. Its totient is φ = 28087776.

The previous prime is 90478139. The next prime is 90478169. The reversal of 90478152 is 25187409.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 45239076 + 45239076 = 6726^2 + 6726^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6726.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1533499 + ... + 1533557.

Almost surely, 2^90478152 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 90478152

90478152 is an abundant number, since it is smaller than the sum of its proper divisors (172600443).

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

90478152 is a wasteful number, since it uses less digits than its factorization.

90478152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 90478152 is about 9512.0004205214. Note that the first 3 decimals coincide. The cubic root of 90478152 is about 448.9327002336.

The spelling of 90478152 in words is "ninety million, four hundred seventy-eight thousand, one hundred fifty-two".