89876880 has 120 divisors (see below), whose sum is σ = 308962368. Its totient is φ = 23401728.

The previous prime is 89876869. The next prime is 89876881. The reversal of 89876880 is 8867898.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (89876881) 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 23 ways as a sum of consecutive naturals, for example, 29509 + ... + 32411.

Almost surely, 2^89876880 is an apocalyptic number.

89876880 is a gapful number since it is divisible by the number (80) 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 89876880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154481184).

89876880 is an abundant number, since it is smaller than the sum of its proper divisors (219085488).

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

89876880 is a wasteful number, since it uses less digits than its factorization.

89876880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 89876880 is about 9480.3417659914. The cubic root of 89876880 is about 447.9360293439.

The spelling of 89876880 in words is "eighty-nine million, eight hundred seventy-six thousand, eight hundred eighty".