89093760 has 192 divisors, whose sum is σ = 330700320. Its totient is φ = 20342784.

The previous prime is 89093749. The next prime is 89093773. The reversal of 89093760 is 6739098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 93607 + ... + 94553.

Almost surely, 2^89093760 is an apocalyptic number.

89093760 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 89093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165350160).

89093760 is an abundant number, since it is smaller than the sum of its proper divisors (241606560).

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

89093760 is a wasteful number, since it uses less digits than its factorization.

89093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 89093760 is about 9438.9490940464. The cubic root of 89093760 is about 446.6312389910.

The spelling of 89093760 in words is "eighty-nine million, ninety-three thousand, seven hundred sixty".