90016920 has 288 divisors, whose sum is σ = 354276000. Its totient is φ = 20575296.

The previous prime is 90016919. The next prime is 90016951. The reversal of 90016920 is 2961009.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12859557 + ... + 12859563.

It is an arithmetic number, because the mean of its divisors is an integer number (1230125).

Almost surely, 2^90016920 is an apocalyptic number.

90016920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90016920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177138000).

90016920 is an abundant number, since it is smaller than the sum of its proper divisors (264259080).

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

90016920 is an frugal number, since it uses more digits than its factorization.

90016920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 90016920 is about 9487.7247008964. The cubic root of 90016920 is about 448.1685563657.

Adding to 90016920 its reverse (2961009), we get a palindrome (92977929).

The spelling of 90016920 in words is "ninety million, sixteen thousand, nine hundred twenty".