90284700 has 144 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 21600000.

The previous prime is 90284693. The next prime is 90284707. The reversal of 90284700 is 748209.

It is an interprime number because it is at equal distance from previous prime (90284693) and next prime (90284707).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90284707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359575 + ... + 359825.

It is an arithmetic number, because the mean of its divisors is an integer number (2005080).

Almost surely, 2^90284700 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 90284700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

90284700 is an abundant number, since it is smaller than the sum of its proper divisors (198446820).

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

90284700 is a wasteful number, since it uses less digits than its factorization.

90284700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 90284700 is about 9501.8261402743. The cubic root of 90284700 is about 448.6125164970.

The spelling of 90284700 in words is "ninety million, two hundred eighty-four thousand, seven hundred".