89510148 has 144 divisors (see below), whose sum is σ = 282522240. Its totient is φ = 23265792.

The previous prime is 89510107. The next prime is 89510149. The reversal of 89510148 is 84101598.

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

It is not an unprimeable number, because it can be changed into a prime (89510149) 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 47 ways as a sum of consecutive naturals, for example, 291411 + ... + 291717.

It is an arithmetic number, because the mean of its divisors is an integer number (1961960).

Almost surely, 2^89510148 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 89510148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141261120).

89510148 is an abundant number, since it is smaller than the sum of its proper divisors (193012092).

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

89510148 is a wasteful number, since it uses less digits than its factorization.

89510148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 89510148 is about 9460.9802874755. The cubic root of 89510148 is about 447.3259487711.

The spelling of 89510148 in words is "eighty-nine million, five hundred ten thousand, one hundred forty-eight".