90816672 has 48 divisors (see below), whose sum is σ = 241678080. Its totient is φ = 29855232.

The previous prime is 90816641. The next prime is 90816683. The reversal of 90816672 is 27661809.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 90816672.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 529 + ... + 13487.

It is an arithmetic number, because the mean of its divisors is an integer number (5034960).

Almost surely, 2^90816672 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 90816672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120839040).

90816672 is an abundant number, since it is smaller than the sum of its proper divisors (150861408).

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

90816672 is a wasteful number, since it uses less digits than its factorization.

90816672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13045 (or 13037 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 90816672 is about 9529.7781716050. The cubic root of 90816672 is about 449.4918906911.

It can be divided in two parts, 9081 and 6672, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 90816672 in words is "ninety million, eight hundred sixteen thousand, six hundred seventy-two".