90154944 has 336 divisors, whose sum is σ = 319527936. Its totient is φ = 24883200.

The previous prime is 90154919. The next prime is 90154949. The reversal of 90154944 is 44945109.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90154899 and 90154908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90154949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2908209 + ... + 2908239.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 2^90154944 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 90154944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159763968).

90154944 is an abundant number, since it is smaller than the sum of its proper divisors (229372992).

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

90154944 is a wasteful number, since it uses less digits than its factorization.

90154944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 90154944 is about 9494.9957345962. The cubic root of 90154944 is about 448.3975000942.

The spelling of 90154944 in words is "ninety million, one hundred fifty-four thousand, nine hundred forty-four".