90119040 has 256 divisors, whose sum is σ = 333123840. Its totient is φ = 20480000.

The previous prime is 90119009. The next prime is 90119063. The reversal of 90119040 is 4091109.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 90119040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358915 + ... + 359165.

It is an arithmetic number, because the mean of its divisors is an integer number (1301265).

Almost surely, 2^90119040 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 90119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920).

90119040 is an abundant number, since it is smaller than the sum of its proper divisors (243004800).

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

90119040 is a wasteful number, since it uses less digits than its factorization.

90119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 90119040 is about 9493.1048661647. The cubic root of 90119040 is about 448.3379677647.

The spelling of 90119040 in words is "ninety million, one hundred nineteen thousand, forty".