89219000 has 64 divisors (see below), whose sum is σ = 224864640. Its totient is φ = 32937600.

The previous prime is 89218999. The next prime is 89219017. The reversal of 89219000 is 91298.

It is a super-2 number, since 2×89219000² = 15920059922000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9569 + ... + 16431.

It is an arithmetic number, because the mean of its divisors is an integer number (3513510).

Almost surely, 2^89219000 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 89219000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112432320).

89219000 is an abundant number, since it is smaller than the sum of its proper divisors (135645640).

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

89219000 is a wasteful number, since it uses less digits than its factorization.

89219000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6897 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 89219000 is about 9445.5809773671. The cubic root of 89219000 is about 446.8404190236.

The spelling of 89219000 in words is "eighty-nine million, two hundred nineteen thousand".