89126880 has 48 divisors (see below), whose sum is σ = 280751184. Its totient is φ = 23767040.

The previous prime is 89126833. The next prime is 89126881. The reversal of 89126880 is 8862198.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89126881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92361 + ... + 93320.

It is an arithmetic number, because the mean of its divisors is an integer number (5848983).

Almost surely, 2^89126880 is an apocalyptic number.

89126880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89126880 is an abundant number, since it is smaller than the sum of its proper divisors (191624304).

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

89126880 is a wasteful number, since it uses less digits than its factorization.

89126880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185699 (or 185691 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 89126880 is about 9440.7033636271. The cubic root of 89126880 is about 446.6865761775.

The spelling of 89126880 in words is "eighty-nine million, one hundred twenty-six thousand, eight hundred eighty".