89909760 has 160 divisors (see below), whose sum is σ = 300516480. Its totient is φ = 22888448.

The previous prime is 89909749. The next prime is 89909797. The reversal of 89909760 is 6790998.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176386 + ... + 176894.

It is an arithmetic number, because the mean of its divisors is an integer number (1878228).

Almost surely, 2^89909760 is an apocalyptic number.

89909760 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 89909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150258240).

89909760 is an abundant number, since it is smaller than the sum of its proper divisors (210606720).

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

89909760 is a wasteful number, since it uses less digits than its factorization.

89909760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 89909760 is about 9482.0757221191. The cubic root of 89909760 is about 447.9906460632.

The spelling of 89909760 in words is "eighty-nine million, nine hundred nine thousand, seven hundred sixty".