90216000 has 336 divisors, whose sum is σ = 370880640. Its totient is φ = 20505600.

The previous prime is 90215987. The next prime is 90216001. The reversal of 90216000 is 61209.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (90216001) 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, 503911 + ... + 504089.

Almost surely, 2^90216000 is an apocalyptic number.

90216000 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 90216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185440320).

90216000 is an abundant number, since it is smaller than the sum of its proper divisors (280664640).

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

90216000 is a wasteful number, since it uses less digits than its factorization.

90216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 90216000 is about 9498.2103577463. The cubic root of 90216000 is about 448.4987006073.

Adding to 90216000 its reverse (61209), we get a palindrome (90277209).

The spelling of 90216000 in words is "ninety million, two hundred sixteen thousand".