90436192 has 144 divisors (see below), whose sum is σ = 237662208. Its totient is φ = 32901120.

The previous prime is 90436189. The next prime is 90436211. The reversal of 90436192 is 29163409.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 23 ways as a sum of consecutive naturals, for example, 712033 + ... + 712159.

It is an arithmetic number, because the mean of its divisors is an integer number (1650432).

Almost surely, 2^90436192 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 90436192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118831104).

90436192 is an abundant number, since it is smaller than the sum of its proper divisors (147226016).

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

90436192 is a wasteful number, since it uses less digits than its factorization.

90436192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 90436192 is about 9509.7945298518. The cubic root of 90436192 is about 448.8632907375.

The spelling of 90436192 in words is "ninety million, four hundred thirty-six thousand, one hundred ninety-two".