89827920 has 320 divisors, whose sum is σ = 381642240. Its totient is φ = 18911232.

The previous prime is 89827909. The next prime is 89827921. The reversal of 89827920 is 2972898.

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 not an unprimeable number, because it can be changed into a prime (89827921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196332 + ... + 196788.

It is an arithmetic number, because the mean of its divisors is an integer number (1192632).

Almost surely, 2^89827920 is an apocalyptic number.

89827920 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 89827920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190821120).

89827920 is an abundant number, since it is smaller than the sum of its proper divisors (291814320).

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

89827920 is a wasteful number, since it uses less digits than its factorization.

89827920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 89827920 is about 9477.7592288473. The cubic root of 89827920 is about 447.8546775677.

The spelling of 89827920 in words is "eighty-nine million, eight hundred twenty-seven thousand, nine hundred twenty".