90853440 has 224 divisors, whose sum is σ = 322600320. Its totient is φ = 21528576.

The previous prime is 90853409. The next prime is 90853447. The reversal of 90853440 is 4435809.

It is not an unprimeable number, because it can be changed into a prime (90853447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309934 + ... + 310226.

It is an arithmetic number, because the mean of its divisors is an integer number (1440180).

Almost surely, 2^90853440 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 90853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

90853440 is an abundant number, since it is smaller than the sum of its proper divisors (231746880).

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

90853440 is a wasteful number, since it uses less digits than its factorization.

90853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 90853440 is about 9531.7070874005. The cubic root of 90853440 is about 449.5525428732.

The spelling of 90853440 in words is "ninety million, eight hundred fifty-three thousand, four hundred forty".