90084768 has 96 divisors (see below), whose sum is σ = 252564480. Its totient is φ = 28113920.

The previous prime is 90084763. The next prime is 90084769. The reversal of 90084768 is 86748009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×90084768² = 16230530851227648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90084763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 471553 + ... + 471743.

It is an arithmetic number, because the mean of its divisors is an integer number (2630880).

Almost surely, 2^90084768 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 90084768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126282240).

90084768 is an abundant number, since it is smaller than the sum of its proper divisors (162479712).

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

90084768 is a wasteful number, since it uses less digits than its factorization.

90084768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 90084768 is about 9491.2995948922. The cubic root of 90084768 is about 448.2811266982.

The spelling of 90084768 in words is "ninety million, eighty-four thousand, seven hundred sixty-eight".