89868400 has 60 divisors (see below), whose sum is σ = 217186000. Its totient is φ = 35735040.

The previous prime is 89868397. The next prime is 89868407. The reversal of 89868400 is 486898.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89868407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79036 + ... + 80164.

Almost surely, 2^89868400 is an apocalyptic number.

89868400 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 89868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108593000).

89868400 is an abundant number, since it is smaller than the sum of its proper divisors (127317600).

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

89868400 is a wasteful number, since it uses less digits than its factorization.

89868400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 89868400 is about 9479.8945141811. The cubic root of 89868400 is about 447.9219411193.

The spelling of 89868400 in words is "eighty-nine million, eight hundred sixty-eight thousand, four hundred".