89116400 has 30 divisors (see below), whose sum is σ = 214103112. Its totient is φ = 35646400.

The previous prime is 89116393. The next prime is 89116409. The reversal of 89116400 is 461198.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89116409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110996 + ... + 111795.

Almost surely, 2^89116400 is an apocalyptic number.

89116400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89116400 is an abundant number, since it is smaller than the sum of its proper divisors (124986712).

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

89116400 is a wasteful number, since it uses less digits than its factorization.

89116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222809 (or 222798 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 89116400 is about 9440.1483039198. The cubic root of 89116400 is about 446.6690675844.

Adding to 89116400 its reverse (461198), we get a palindrome (89577598).

The spelling of 89116400 in words is "eighty-nine million, one hundred sixteen thousand, four hundred".