96238800 has 480 divisors, whose sum is σ = 418227200. Its totient is φ = 20528640.

The previous prime is 96238789. The next prime is 96238811. The reversal of 96238800 is 883269.

It is an interprime number because it is at equal distance from previous prime (96238789) and next prime (96238811).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1436367 + ... + 1436433.

Almost surely, 2^96238800 is an apocalyptic number.

96238800 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 96238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209113600).

96238800 is an abundant number, since it is smaller than the sum of its proper divisors (321988400).

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

96238800 is a wasteful number, since it uses less digits than its factorization.

96238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 96238800 is about 9810.1376137137. The cubic root of 96238800 is about 458.2650462084.

The spelling of 96238800 in words is "ninety-six million, two hundred thirty-eight thousand, eight hundred".