89077152 has 48 divisors (see below), whose sum is σ = 236168352. Its totient is φ = 29395200.

The previous prime is 89077151. The next prime is 89077169. The reversal of 89077152 is 25177098.

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

It is a super-2 number, since 2×89077152² = 15869478016862208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 89077152.

It is not an unprimeable number, because it can be changed into a prime (89077151) 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, 5103 + ... + 14289.

It is an arithmetic number, because the mean of its divisors is an integer number (4920174).

Almost surely, 2^89077152 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 89077152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118084176).

89077152 is an abundant number, since it is smaller than the sum of its proper divisors (147091200).

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

89077152 is a wasteful number, since it uses less digits than its factorization.

89077152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9301 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 89077152 is about 9438.0692940876. The cubic root of 89077152 is about 446.6034850362.

The spelling of 89077152 in words is "eighty-nine million, seventy-seven thousand, one hundred fifty-two".