96206400 has 336 divisors, whose sum is σ = 374172480. Its totient is φ = 23961600.

The previous prime is 96206371. The next prime is 96206413. The reversal of 96206400 is 460269.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 734335 + ... + 734465.

Almost surely, 2^96206400 is an apocalyptic number.

96206400 is a gapful number since it is divisible by the number (90) 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 96206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187086240).

96206400 is an abundant number, since it is smaller than the sum of its proper divisors (277966080).

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

96206400 is a wasteful number, since it uses less digits than its factorization.

96206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 96206400 is about 9808.4861217213. The cubic root of 96206400 is about 458.2136135429.

Adding to 96206400 its reverse (460269), we get a palindrome (96666669).

The spelling of 96206400 in words is "ninety-six million, two hundred six thousand, four hundred".