90385812 has 144 divisors (see below), whose sum is σ = 269680320. Its totient is φ = 25228800.

The previous prime is 90385807. The next prime is 90385843. The reversal of 90385812 is 21858309.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308338 + ... + 308630.

It is an arithmetic number, because the mean of its divisors is an integer number (1872780).

Almost surely, 2^90385812 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 90385812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134840160).

90385812 is an abundant number, since it is smaller than the sum of its proper divisors (179294508).

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

90385812 is a wasteful number, since it uses less digits than its factorization.

90385812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 90385812 is about 9507.1453128686. The cubic root of 90385812 is about 448.7799246551.

The spelling of 90385812 in words is "ninety million, three hundred eighty-five thousand, eight hundred twelve".