90333600 has 288 divisors, whose sum is σ = 354977280. Its totient is φ = 19491840.

The previous prime is 90333599. The next prime is 90333601. The reversal of 90333600 is 633309.

It is an interprime number because it is at equal distance from previous prime (90333599) and next prime (90333601).

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

It is not an unprimeable number, because it can be changed into a prime (90333601) 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, 319059 + ... + 319341.

It is an arithmetic number, because the mean of its divisors is an integer number (1232560).

Almost surely, 2^90333600 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 90333600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177488640).

90333600 is an abundant number, since it is smaller than the sum of its proper divisors (264643680).

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

90333600 is a wasteful number, since it uses less digits than its factorization.

90333600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

The square root of 90333600 is about 9504.3989815243. The cubic root of 90333600 is about 448.6934943840.

Adding to 90333600 its reverse (633309), we get a palindrome (90966909).

The spelling of 90333600 in words is "ninety million, three hundred thirty-three thousand, six hundred".