89460000 has 360 divisors, whose sum is σ = 368432064. Its totient is φ = 20160000.

The previous prime is 89459987. The next prime is 89460011. The reversal of 89460000 is 6498.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1259965 + ... + 1260035.

Almost surely, 2^89460000 is an apocalyptic number.

89460000 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 89460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184216032).

89460000 is an abundant number, since it is smaller than the sum of its proper divisors (278972064).

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

89460000 is a wasteful number, since it uses less digits than its factorization.

89460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 89460000 is about 9458.3296622607. The cubic root of 89460000 is about 447.2423951453.

Adding to 89460000 its reverse (6498), we get a palindrome (89466498).

The spelling of 89460000 in words is "eighty-nine million, four hundred sixty thousand".