89805936 has 80 divisors (see below), whose sum is σ = 256412160. Its totient is φ = 26856960.

The previous prime is 89805931. The next prime is 89805941. The reversal of 89805936 is 63950898.

It is an interprime number because it is at equal distance from previous prime (89805931) and next prime (89805941).

It is a super-2 number, since 2×89805936² = 16130212281672192, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89805931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40636 + ... + 42788.

It is an arithmetic number, because the mean of its divisors is an integer number (3205152).

Almost surely, 2^89805936 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 89805936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128206080).

89805936 is an abundant number, since it is smaller than the sum of its proper divisors (166606224).

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

89805936 is a wasteful number, since it uses less digits than its factorization.

89805936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 89805936 is about 9476.5993900766. The cubic root of 89805936 is about 447.8181394085.

The spelling of 89805936 in words is "eighty-nine million, eight hundred five thousand, nine hundred thirty-six".