89944992 has 144 divisors (see below), whose sum is σ = 272432160. Its totient is φ = 29175552.

The previous prime is 89944991. The next prime is 89944999. The reversal of 89944992 is 29944998.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (89944991) 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 23 ways as a sum of consecutive naturals, for example, 334234 + ... + 334502.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2^89944992 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 89944992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136216080).

89944992 is an abundant number, since it is smaller than the sum of its proper divisors (182487168).

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

89944992 is a wasteful number, since it uses less digits than its factorization.

89944992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 89944992 is about 9483.9333612167. The cubic root of 89944992 is about 448.0491548956.

The spelling of 89944992 in words is "eighty-nine million, nine hundred forty-four thousand, nine hundred ninety-two".