90516800 has 168 divisors, whose sum is σ = 251338080. Its totient is φ = 31795200.

The previous prime is 90516781. The next prime is 90516841. The reversal of 90516800 is 861509.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 651131 + ... + 651269.

It is an arithmetic number, because the mean of its divisors is an integer number (1496060).

Almost surely, 2^90516800 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 90516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125669040).

90516800 is an abundant number, since it is smaller than the sum of its proper divisors (160821280).

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

90516800 is a wasteful number, since it uses less digits than its factorization.

90516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 90516800 is about 9514.0317426420. The cubic root of 90516800 is about 448.9966120944.

It can be divided in two parts, 9051 and 6800, that added together give a palindrome (15851).

The spelling of 90516800 in words is "ninety million, five hundred sixteen thousand, eight hundred".