89514000 has 120 divisors (see below), whose sum is σ = 312705432. Its totient is φ = 23865600.

The previous prime is 89513971. The next prime is 89514011. The reversal of 89514000 is 41598.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 87834384 = 1296^2 + 9372^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15514 + ... + 20486.

Almost surely, 2^89514000 is an apocalyptic number.

89514000 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 89514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156352716).

89514000 is an abundant number, since it is smaller than the sum of its proper divisors (223191432).

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

89514000 is a wasteful number, since it uses less digits than its factorization.

89514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 89514000 is about 9461.1838582706. The cubic root of 89514000 is about 447.3323654545.

Adding to 89514000 its reverse (41598), we get a palindrome (89555598).

It can be divided in two parts, 89 and 514000, that added together give a square (514089 = 717²).

The spelling of 89514000 in words is "eighty-nine million, five hundred fourteen thousand".