89034000 has 320 divisors, whose sum is σ = 334264320. Its totient is φ = 20160000.

The previous prime is 89033969. The next prime is 89034041. The reversal of 89034000 is 43098.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1253965 + ... + 1254035.

It is an arithmetic number, because the mean of its divisors is an integer number (1044576).

Almost surely, 2^89034000 is an apocalyptic number.

89034000 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 89034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

89034000 is an abundant number, since it is smaller than the sum of its proper divisors (245230320).

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

89034000 is a wasteful number, since it uses less digits than its factorization.

89034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 89034000 is about 9435.7829563847. The cubic root of 89034000 is about 446.5313567520.

Adding to 89034000 its reverse (43098), we get a palindrome (89077098).

The spelling of 89034000 in words is "eighty-nine million, thirty-four thousand".