90984816 has 160 divisors (see below), whose sum is σ = 298105920. Its totient is φ = 26320896.

The previous prime is 90984811. The next prime is 90984821. The reversal of 90984816 is 61848909.

It is an interprime number because it is at equal distance from previous prime (90984811) and next prime (90984821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90984811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94996 + ... + 95948.

It is an arithmetic number, because the mean of its divisors is an integer number (1863162).

Almost surely, 2^90984816 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 90984816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149052960).

90984816 is an abundant number, since it is smaller than the sum of its proper divisors (207121104).

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

90984816 is a wasteful number, since it uses less digits than its factorization.

90984816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 90984816 is about 9538.5961231200. The cubic root of 90984816 is about 449.7691260140.

It can be divided in two parts, 90 and 984816, that added together give a triangular number (984906 = T₁₄₀₃).

The spelling of 90984816 in words is "ninety million, nine hundred eighty-four thousand, eight hundred sixteen".