90849024 has 216 divisors, whose sum is σ = 308660352. Its totient is φ = 25159680.

The previous prime is 90849019. The next prime is 90849041. The reversal of 90849024 is 42094809.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90849024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693439 + ... + 693569.

Almost surely, 2^90849024 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 90849024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154330176).

90849024 is an abundant number, since it is smaller than the sum of its proper divisors (217811328).

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

90849024 is a wasteful number, since it uses less digits than its factorization.

90849024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90849024 is about 9531.4754366782. The cubic root of 90849024 is about 449.5452591416.

The spelling of 90849024 in words is "ninety million, eight hundred forty-nine thousand, twenty-four".