90360000 has 210 divisors, whose sum is σ = 324936612. Its totient is φ = 24000000.

The previous prime is 90359989. The next prime is 90360013. The reversal of 90360000 is 6309.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 359875 + ... + 360125.

Almost surely, 2^90360000 is an apocalyptic number.

90360000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162468306).

90360000 is an abundant number, since it is smaller than the sum of its proper divisors (234576612).

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

90360000 is a wasteful number, since it uses less digits than its factorization.

90360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 90360000 is about 9505.7877106529. The cubic root of 90360000 is about 448.7372003601.

Adding to 90360000 its reverse (6309), we get a palindrome (90366309).

The spelling of 90360000 in words is "ninety million, three hundred sixty thousand".