90189792 has 288 divisors, whose sum is σ = 330220800. Its totient is φ = 23143680.

The previous prime is 90189773. The next prime is 90189793. The reversal of 90189792 is 29798109.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90189793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086583 + ... + 1086665.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^90189792 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 90189792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

90189792 is an abundant number, since it is smaller than the sum of its proper divisors (240031008).

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

90189792 is a wasteful number, since it uses less digits than its factorization.

90189792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 90189792 is about 9496.8306292152. The cubic root of 90189792 is about 448.4552663594.

The spelling of 90189792 in words is "ninety million, one hundred eighty-nine thousand, seven hundred ninety-two".