90009864 has 144 divisors (see below), whose sum is σ = 293080320. Its totient is φ = 24857280.

The previous prime is 90009839. The next prime is 90009901. The reversal of 90009864 is 46890009.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108957 + ... + 109779.

It is an arithmetic number, because the mean of its divisors is an integer number (2035280).

Almost surely, 2^90009864 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 90009864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146540160).

90009864 is an abundant number, since it is smaller than the sum of its proper divisors (203070456).

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

90009864 is a wasteful number, since it uses less digits than its factorization.

90009864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 90009864 is about 9487.3528447086. The cubic root of 90009864 is about 448.1568461230.

The spelling of 90009864 in words is "ninety million, nine thousand, eight hundred sixty-four".