89965890 has 224 divisors, whose sum is σ = 290860416. Its totient is φ = 19595520.

The previous prime is 89965879. The next prime is 89965891. The reversal of 89965890 is 9856998.

It is a super-2 number, since 2×89965890² = 16187722726984200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (89965891) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2092209 + ... + 2092251.

It is an arithmetic number, because the mean of its divisors is an integer number (1298484).

Almost surely, 2^89965890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89965890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145430208).

89965890 is an abundant number, since it is smaller than the sum of its proper divisors (200894526).

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

89965890 is a wasteful number, since it uses less digits than its factorization.

89965890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 89965890 is about 9485.0350552858. The cubic root of 89965890 is about 448.0838524219.

The spelling of 89965890 in words is "eighty-nine million, nine hundred sixty-five thousand, eight hundred ninety".