89846820 has 288 divisors, whose sum is σ = 342451200. Its totient is φ = 19315584.

The previous prime is 89846803. The next prime is 89846831. The reversal of 89846820 is 2864898.

It is a happy number.

It is a super-2 number, since 2×89846820² = 16144902128224800, which contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 646311 + ... + 646449.

Almost surely, 2^89846820 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 89846820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171225600).

89846820 is an abundant number, since it is smaller than the sum of its proper divisors (252604380).

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

89846820 is a wasteful number, since it uses less digits than its factorization.

89846820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 89846820 is about 9478.7562475253. The cubic root of 89846820 is about 447.8860852482.

The spelling of 89846820 in words is "eighty-nine million, eight hundred forty-six thousand, eight hundred twenty".