89781792 has 48 divisors (see below), whose sum is σ = 237025152. Its totient is φ = 29756160.

The previous prime is 89781787. The next prime is 89781793. The reversal of 89781792 is 29718798.

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

It is not an unprimeable number, because it can be changed into a prime (89781793) by changing a digit.

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, 14793 + ... + 19959.

It is an arithmetic number, because the mean of its divisors is an integer number (4938024).

Almost surely, 2^89781792 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 89781792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118512576).

89781792 is an abundant number, since it is smaller than the sum of its proper divisors (147243360).

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

89781792 is a wasteful number, since it uses less digits than its factorization.

89781792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361 (or 5353 counting only the distinct ones).

The product of its digits is 508032, while the sum is 51.

The square root of 89781792 is about 9475.3254297676. The cubic root of 89781792 is about 447.7780043843.

The spelling of 89781792 in words is "eighty-nine million, seven hundred eighty-one thousand, seven hundred ninety-two".