89629488 has 180 divisors, whose sum is σ = 283196160. Its totient is φ = 26417664.

The previous prime is 89629483. The next prime is 89629493. The reversal of 89629488 is 88492698.

89629488 is a `hidden beast` number, since 8 + 9 + 629 + 4 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (89629483) and next prime (89629493).

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 (89629481) 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 35 ways as a sum of consecutive naturals, for example, 705681 + ... + 705807.

It is an arithmetic number, because the mean of its divisors is an integer number (1573312).

Almost surely, 2^89629488 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 89629488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141598080).

89629488 is an abundant number, since it is smaller than the sum of its proper divisors (193566672).

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

89629488 is a wasteful number, since it uses less digits than its factorization.

89629488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 89629488 is about 9467.2851441160. The cubic root of 89629488 is about 447.5246605845.

The spelling of 89629488 in words is "eighty-nine million, six hundred twenty-nine thousand, four hundred eighty-eight".