90578048 has 64 divisors (see below), whose sum is σ = 205485120. Its totient is φ = 39367680.

The previous prime is 90578041. The next prime is 90578053. The reversal of 90578048 is 84087509.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 90577996 and 90578014.

It is not an unprimeable number, because it can be changed into a prime (90578041) 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, 30986 + ... + 33782.

It is an arithmetic number, because the mean of its divisors is an integer number (3210705).

Almost surely, 2^90578048 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 90578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102742560).

90578048 is an abundant number, since it is smaller than the sum of its proper divisors (114907072).

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

90578048 is a wasteful number, since it uses less digits than its factorization.

90578048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 90578048 is about 9517.2500229846. The cubic root of 90578048 is about 449.0978601286.

The spelling of 90578048 in words is "ninety million, five hundred seventy-eight thousand, forty-eight".