96148800 has 252 divisors, whose sum is σ = 373416576. Its totient is φ = 23270400.

The previous prime is 96148799. The next prime is 96148849. The reversal of 96148800 is 884169.

It is a happy number.

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158097 + ... + 158703.

Almost surely, 2^96148800 is an apocalyptic number.

96148800 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 96148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186708288).

96148800 is an abundant number, since it is smaller than the sum of its proper divisors (277267776).

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

96148800 is a wasteful number, since it uses less digits than its factorization.

96148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 96148800 is about 9805.5494491640. The cubic root of 96148800 is about 458.1221491732.

The spelling of 96148800 in words is "ninety-six million, one hundred forty-eight thousand, eight hundred".