89406400 has 168 divisors, whose sum is σ = 246613680. Its totient is φ = 31703040.

The previous prime is 89406379. The next prime is 89406413. The reversal of 89406400 is 460498.

It is a congruent number.

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, 516714 + ... + 516886.

Almost surely, 2^89406400 is an apocalyptic number.

89406400 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 89406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123306840).

89406400 is an abundant number, since it is smaller than the sum of its proper divisors (157207280).

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

89406400 is a wasteful number, since it uses less digits than its factorization.

89406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 89406400 is about 9455.4957564371. The cubic root of 89406400 is about 447.1530554716.

Adding to 89406400 its reverse (460498), we get a palindrome (89866898).

The spelling of 89406400 in words is "eighty-nine million, four hundred six thousand, four hundred".