93000880 has 80 divisors (see below), whose sum is σ = 261679680. Its totient is φ = 30007296.

The previous prime is 93000857. The next prime is 93000881. The reversal of 93000880 is 8800039.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (93000881) 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 15 ways as a sum of consecutive naturals, for example, 4636 + ... + 14404.

It is an arithmetic number, because the mean of its divisors is an integer number (3270996).

Almost surely, 2^93000880 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 93000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130839840).

93000880 is an abundant number, since it is smaller than the sum of its proper divisors (168678800).

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

93000880 is a wasteful number, since it uses less digits than its factorization.

93000880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9806 (or 9800 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 93000880 is about 9643.6963867596. The cubic root of 93000880 is about 453.0669186276.

The spelling of 93000880 in words is "ninety-three million, eight hundred eighty", and thus it is an aban number.