90164016 has 100 divisors (see below), whose sum is σ = 270072000. Its totient is φ = 29006208.

The previous prime is 90163981. The next prime is 90164021. The reversal of 90164016 is 61046109.

90164016 is a `hidden beast` number, since 9 + 0 + 1 + 640 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36385 + ... + 38783.

It is an arithmetic number, because the mean of its divisors is an integer number (2700720).

Almost surely, 2^90164016 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 90164016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135036000).

90164016 is an abundant number, since it is smaller than the sum of its proper divisors (179907984).

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

90164016 is a wasteful number, since it uses less digits than its factorization.

90164016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 90164016 is about 9495.4734479119. The cubic root of 90164016 is about 448.4125398524.

The spelling of 90164016 in words is "ninety million, one hundred sixty-four thousand, sixteen".