89012000 has 288 divisors, whose sum is σ = 289650816. Its totient is φ = 26112000.

The previous prime is 89011997. The next prime is 89012003. The reversal of 89012000 is 21098.

It is an interprime number because it is at equal distance from previous prime (89011997) and next prime (89012003).

It is a super-2 number, since 2×89012000² = 15846272288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (89012003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5235992 + ... + 5236008.

It is an arithmetic number, because the mean of its divisors is an integer number (1005732).

Almost surely, 2^89012000 is an apocalyptic number.

89012000 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 89012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144825408).

89012000 is an abundant number, since it is smaller than the sum of its proper divisors (200638816).

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

89012000 is a wasteful number, since it uses less digits than its factorization.

89012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 89012000 is about 9434.6171093479. The cubic root of 89012000 is about 446.4945749268.

Adding to 89012000 its reverse (21098), we get a palindrome (89033098).

It can be divided in two parts, 8901 and 2000, that added together give a palindrome (10901).

The spelling of 89012000 in words is "eighty-nine million, twelve thousand".