89126496 has 72 divisors (see below), whose sum is σ = 258279840. Its totient is φ = 29143296.

The previous prime is 89126491. The next prime is 89126507. The reversal of 89126496 is 69462198.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89126491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12345 + ... + 18183.

It is an arithmetic number, because the mean of its divisors is an integer number (3587220).

Almost surely, 2^89126496 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 89126496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129139920).

89126496 is an abundant number, since it is smaller than the sum of its proper divisors (169153344).

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

89126496 is a wasteful number, since it uses less digits than its factorization.

89126496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5897 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 89126496 is about 9440.6830261375. The cubic root of 89126496 is about 446.6859346655.

The spelling of 89126496 in words is "eighty-nine million, one hundred twenty-six thousand, four hundred ninety-six".