90285000 has 160 divisors (see below), whose sum is σ = 304402560. Its totient is φ = 22176000.

The previous prime is 90284983. The next prime is 90285029. The reversal of 90285000 is 58209.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194769 + ... + 195231.

It is an arithmetic number, because the mean of its divisors is an integer number (1902516).

Almost surely, 2^90285000 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 90285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152201280).

90285000 is an abundant number, since it is smaller than the sum of its proper divisors (214117560).

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

90285000 is a wasteful number, since it uses less digits than its factorization.

90285000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 90285000 is about 9501.8419267003. The cubic root of 90285000 is about 448.6130133830.

It can be divided in two parts, 9028 and 5000, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 90285000 in words is "ninety million, two hundred eighty-five thousand".