89845920 has 144 divisors (see below), whose sum is σ = 313945632. Its totient is φ = 23385600.

The previous prime is 89845907. The next prime is 89845933. The reversal of 89845920 is 2954898.

It is an interprime number because it is at equal distance from previous prime (89845907) and next prime (89845933).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61195 + ... + 62645.

It is an arithmetic number, because the mean of its divisors is an integer number (2180178).

Almost surely, 2^89845920 is an apocalyptic number.

89845920 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 89845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156972816).

89845920 is an abundant number, since it is smaller than the sum of its proper divisors (224099712).

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

89845920 is a wasteful number, since it uses less digits than its factorization.

89845920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 89845920 is about 9478.7087728234. The cubic root of 89845920 is about 447.8845897443.

The spelling of 89845920 in words is "eighty-nine million, eight hundred forty-five thousand, nine hundred twenty".