90561024 has 80 divisors (see below), whose sum is σ = 268107840. Its totient is φ = 30182400.

The previous prime is 90560993. The next prime is 90561041. The reversal of 90561024 is 42016509.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10549 + ... + 17099.

It is an arithmetic number, because the mean of its divisors is an integer number (3351348).

Almost surely, 2^90561024 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 90561024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

90561024 is an abundant number, since it is smaller than the sum of its proper divisors (177546816).

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

90561024 is an equidigital number, since it uses as much as digits as its factorization.

90561024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6578 (or 6556 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 90561024 is about 9516.3556049572. The cubic root of 90561024 is about 449.0697226230.

The spelling of 90561024 in words is "ninety million, five hundred sixty-one thousand, twenty-four".