90535200 has 288 divisors, whose sum is σ = 357727104. Its totient is φ = 19415040.

The previous prime is 90535177. The next prime is 90535229. The reversal of 90535200 is 253509.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285442 + ... + 285758.

It is an arithmetic number, because the mean of its divisors is an integer number (1242108).

Almost surely, 2^90535200 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 90535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178863552).

90535200 is an abundant number, since it is smaller than the sum of its proper divisors (267191904).

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

90535200 is a wasteful number, since it uses less digits than its factorization.

90535200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 90535200 is about 9514.9986862847. The cubic root of 90535200 is about 449.0270336218.

Adding to 90535200 its reverse (253509), we get a palindrome (90788709).

The spelling of 90535200 in words is "ninety million, five hundred thirty-five thousand, two hundred".