89361792 has 288 divisors, whose sum is σ = 305749080. Its totient is φ = 25878528.

The previous prime is 89361737. The next prime is 89361793. The reversal of 89361792 is 29716398.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (163296) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89361793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5256568 + ... + 5256584.

Almost surely, 2^89361792 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 89361792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152874540).

89361792 is an abundant number, since it is smaller than the sum of its proper divisors (216387288).

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

89361792 is a wasteful number, since it uses less digits than its factorization.

89361792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 35 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 89361792 is about 9453.1366223069. The cubic root of 89361792 is about 447.0786763005.

The spelling of 89361792 in words is "eighty-nine million, three hundred sixty-one thousand, seven hundred ninety-two".