90984000 has 224 divisors, whose sum is σ = 319527936. Its totient is φ = 22732800.

The previous prime is 90983969. The next prime is 90984011. The reversal of 90984000 is 48909.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 407889 + ... + 408111.

It is an arithmetic number, because the mean of its divisors is an integer number (1426464).

Almost surely, 2^90984000 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 90984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159763968).

90984000 is an abundant number, since it is smaller than the sum of its proper divisors (228543936).

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

90984000 is a wasteful number, since it uses less digits than its factorization.

90984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 90984000 is about 9538.5533494341. The cubic root of 90984000 is about 449.7677814208.

The spelling of 90984000 in words is "ninety million, nine hundred eighty-four thousand".