90285440 has 96 divisors (see below), whose sum is σ = 251164800. Its totient is φ = 30944256.

The previous prime is 90285431. The next prime is 90285469. The reversal of 90285440 is 4458209.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 90285397 and 90285406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29921 + ... + 32799.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2^90285440 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 90285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125582400).

90285440 is an abundant number, since it is smaller than the sum of its proper divisors (160879360).

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

90285440 is a wasteful number, since it uses less digits than its factorization.

90285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 90285440 is about 9501.8650800777. The cubic root of 90285440 is about 448.6137421471.

The spelling of 90285440 in words is "ninety million, two hundred eighty-five thousand, four hundred forty".