89390400 has 168 divisors, whose sum is σ = 320125344. Its totient is φ = 21657600.

The previous prime is 89390377. The next prime is 89390401. The reversal of 89390400 is 409398.

It is a super-2 number, since 2×89390400² = 15981287224320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89390401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51954 + ... + 53646.

It is an arithmetic number, because the mean of its divisors is an integer number (1905508).

Almost surely, 2^89390400 is an apocalyptic number.

89390400 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 89390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160062672).

89390400 is an abundant number, since it is smaller than the sum of its proper divisors (230734944).

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

89390400 is a wasteful number, since it uses less digits than its factorization.

89390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 89390400 is about 9454.6496497755. The cubic root of 89390400 is about 447.1263799923.

Adding to 89390400 its reverse (409398), we get a palindrome (89799798).

The spelling of 89390400 in words is "eighty-nine million, three hundred ninety thousand, four hundred".