89684400 has 120 divisors (see below), whose sum is σ = 309442000. Its totient is φ = 22072320.

The previous prime is 89684377. The next prime is 89684407. The reversal of 89684400 is 448698.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (89684407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12726 + ... + 18474.

Almost surely, 2^89684400 is an apocalyptic number.

89684400 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 89684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154721000).

89684400 is an abundant number, since it is smaller than the sum of its proper divisors (219757600).

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

89684400 is a wasteful number, since it uses less digits than its factorization.

89684400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 89684400 is about 9470.1847922836. The cubic root of 89684400 is about 447.6160347437.

The spelling of 89684400 in words is "eighty-nine million, six hundred eighty-four thousand, four hundred".