90573360 has 80 divisors (see below), whose sum is σ = 283481856. Its totient is φ = 23920384.

The previous prime is 90573317. The next prime is 90573367. The reversal of 90573360 is 6337509.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (90573367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23917 + ... + 27443.

Almost surely, 2^90573360 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 90573360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141740928).

90573360 is an abundant number, since it is smaller than the sum of its proper divisors (192908496).

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

90573360 is a wasteful number, since it uses less digits than its factorization.

90573360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 90573360 is about 9517.0037301663. The cubic root of 90573360 is about 449.0901120884.

The spelling of 90573360 in words is "ninety million, five hundred seventy-three thousand, three hundred sixty".