90723648 has 56 divisors (see below), whose sum is σ = 242974368. Its totient is φ = 29871616.

The previous prime is 90723637. The next prime is 90723649. The reversal of 90723648 is 84632709.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90723649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13090 + ... + 18782.

It is an arithmetic number, because the mean of its divisors is an integer number (4338828).

Almost surely, 2^90723648 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 90723648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121487184).

90723648 is an abundant number, since it is smaller than the sum of its proper divisors (152250720).

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

90723648 is a wasteful number, since it uses less digits than its factorization.

90723648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5791 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 90723648 is about 9524.8962199071. The cubic root of 90723648 is about 449.3383659492.

It can be divided in two parts, 9072 and 3648, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 90723648 in words is "ninety million, seven hundred twenty-three thousand, six hundred forty-eight".