90004824 has 256 divisors, whose sum is σ = 325248000. Its totient is φ = 22394880.

The previous prime is 90004801. The next prime is 90004841. The reversal of 90004824 is 42840009.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 373344 + ... + 373584.

It is an arithmetic number, because the mean of its divisors is an integer number (1270500).

Almost surely, 2^90004824 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 90004824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162624000).

90004824 is an abundant number, since it is smaller than the sum of its proper divisors (235243176).

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

90004824 is a wasteful number, since it uses less digits than its factorization.

90004824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 90004824 is about 9487.0872242222. The cubic root of 90004824 is about 448.1484812891.

It can be divided in two parts, 9000 and 4824, that added together give a cube (13824 = 24³).

The spelling of 90004824 in words is "ninety million, four thousand, eight hundred twenty-four".