89623152 has 160 divisors (see below), whose sum is σ = 276768000. Its totient is φ = 27682560.

The previous prime is 89623123. The next prime is 89623199. The reversal of 89623152 is 25132698.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 500599 + ... + 500777.

It is an arithmetic number, because the mean of its divisors is an integer number (1729800).

Almost surely, 2^89623152 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 89623152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138384000).

89623152 is an abundant number, since it is smaller than the sum of its proper divisors (187144848).

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

89623152 is a wasteful number, since it uses less digits than its factorization.

89623152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 89623152 is about 9466.9505121766. The cubic root of 89623152 is about 447.5141150110.

The spelling of 89623152 in words is "eighty-nine million, six hundred twenty-three thousand, one hundred fifty-two".