89138400 has 144 divisors (see below), whose sum is σ = 312573744. Its totient is φ = 21934080.

The previous prime is 89138393. The next prime is 89138417. The reversal of 89138400 is 483198.

It is a super-3 number, since 3×89138400³ (a number of 25 digits) contains 333 as substring.

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, 29772 + ... + 32628.

It is an arithmetic number, because the mean of its divisors is an integer number (2170651).

Almost surely, 2^89138400 is an apocalyptic number.

89138400 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 89138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156286872).

89138400 is an abundant number, since it is smaller than the sum of its proper divisors (223435344).

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

89138400 is a wasteful number, since it uses less digits than its factorization.

89138400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 89138400 is about 9441.3134679450. The cubic root of 89138400 is about 446.7058206810.

The spelling of 89138400 in words is "eighty-nine million, one hundred thirty-eight thousand, four hundred".