90468192 has 48 divisors (see below), whose sum is σ = 238533120. Its totient is φ = 30022272.

The previous prime is 90468163. The next prime is 90468221. The reversal of 90468192 is 29186409.

It is an interprime number because it is at equal distance from previous prime (90468163) and next prime (90468221).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 90468192.

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 7 ways as a sum of consecutive naturals, for example, 20973 + ... + 24915.

It is an arithmetic number, because the mean of its divisors is an integer number (4969440).

Almost surely, 2^90468192 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 90468192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119266560).

90468192 is an abundant number, since it is smaller than the sum of its proper divisors (148064928).

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

90468192 is a wasteful number, since it uses less digits than its factorization.

90468192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 90468192 is about 9511.4768569345. The cubic root of 90468192 is about 448.9162265190.

It can be divided in two parts, 904 and 68192, that added together give a palindrome (69096).

The spelling of 90468192 in words is "ninety million, four hundred sixty-eight thousand, one hundred ninety-two".