90101760 has 192 divisors, whose sum is σ = 330220800. Its totient is φ = 20545536.

The previous prime is 90101707. The next prime is 90101761. The reversal of 90101760 is 6710109.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 90101760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90101761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 214831 + ... + 215249.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^90101760 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 90101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

90101760 is an abundant number, since it is smaller than the sum of its proper divisors (240119040).

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

90101760 is a wasteful number, since it uses less digits than its factorization.

90101760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 90101760 is about 9492.1946882689. The cubic root of 90101760 is about 448.3093102050.

Adding to 90101760 its reverse (6710109), we get a palindrome (96811869).

The spelling of 90101760 in words is "ninety million, one hundred one thousand, seven hundred sixty".