90416200 has 192 divisors, whose sum is σ = 265161600. Its totient is φ = 27955200.

The previous prime is 90416167. The next prime is 90416237. The reversal of 90416200 is 261409.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690135 + ... + 690265.

It is an arithmetic number, because the mean of its divisors is an integer number (1381050).

Almost surely, 2^90416200 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 90416200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132580800).

90416200 is an abundant number, since it is smaller than the sum of its proper divisors (174745400).

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

90416200 is a wasteful number, since it uses less digits than its factorization.

90416200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 90416200 is about 9508.7433449431. The cubic root of 90416200 is about 448.8302127701.

Adding to 90416200 its reverse (261409), we get a palindrome (90677609).

The spelling of 90416200 in words is "ninety million, four hundred sixteen thousand, two hundred".