89993376 has 192 divisors, whose sum is σ = 303730560. Its totient is φ = 25620480.

The previous prime is 89993369. The next prime is 89993377. The reversal of 89993376 is 67339998.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89993377) 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 31 ways as a sum of consecutive naturals, for example, 161290 + ... + 161846.

It is an arithmetic number, because the mean of its divisors is an integer number (1581930).

Almost surely, 2^89993376 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 89993376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280).

89993376 is an abundant number, since it is smaller than the sum of its proper divisors (213737184).

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

89993376 is a wasteful number, since it uses less digits than its factorization.

89993376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 590 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 89993376 is about 9486.4838586275. The cubic root of 89993376 is about 448.1294800063.

It can be divided in two parts, 899933 and 76, that added together give a palindrome (900009).

The spelling of 89993376 in words is "eighty-nine million, nine hundred ninety-three thousand, three hundred seventy-six".