89241264 has 140 divisors (see below), whose sum is σ = 296544016. Its totient is φ = 25474176.

The previous prime is 89241263. The next prime is 89241287. The reversal of 89241264 is 46214298.

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

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 (89241263) 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 27 ways as a sum of consecutive naturals, for example, 81102 + ... + 82194.

Almost surely, 2^89241264 is an apocalyptic number.

89241264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89241264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148272008).

89241264 is an abundant number, since it is smaller than the sum of its proper divisors (207302752).

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

89241264 is a wasteful number, since it uses less digits than its factorization.

89241264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1105 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 89241264 is about 9446.7594443809. The cubic root of 89241264 is about 446.8775846037.

The spelling of 89241264 in words is "eighty-nine million, two hundred forty-one thousand, two hundred sixty-four".