90824144 has 20 divisors (see below), whose sum is σ = 177951780. Its totient is φ = 44901120.

The previous prime is 90824137. The next prime is 90824147. The reversal of 90824144 is 44142809.

It can be written as a sum of positive squares in 2 ways, for example, as 31225744 + 59598400 = 5588^2 + 7720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90824144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90824147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30467 + ... + 33314.

It is an arithmetic number, because the mean of its divisors is an integer number (8897589).

Almost surely, 2^90824144 is an apocalyptic number.

It is an amenable number.

90824144 is a deficient number, since it is larger than the sum of its proper divisors (87127636).

90824144 is a wasteful number, since it uses less digits than its factorization.

90824144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63878 (or 63872 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 90824144 is about 9530.1701978506. The cubic root of 90824144 is about 449.5042177643.

It can be divided in two parts, 908 and 24144, that added together give a palindrome (25052).

The spelling of 90824144 in words is "ninety million, eight hundred twenty-four thousand, one hundred forty-four".