90478584 has 96 divisors (see below), whose sum is σ = 289136640. Its totient is φ = 25012800.

The previous prime is 90478567. The next prime is 90478601. The reversal of 90478584 is 48587409.

It is an interprime number because it is at equal distance from previous prime (90478567) and next prime (90478601).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12729 + ... + 18519.

It is an arithmetic number, because the mean of its divisors is an integer number (3011840).

Almost surely, 2^90478584 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 90478584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144568320).

90478584 is an abundant number, since it is smaller than the sum of its proper divisors (198658056).

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

90478584 is a wasteful number, since it uses less digits than its factorization.

90478584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 90478584 is about 9512.0231286514. The cubic root of 90478584 is about 448.9334147288.

The spelling of 90478584 in words is "ninety million, four hundred seventy-eight thousand, five hundred eighty-four".