96478200 has 576 divisors, whose sum is σ = 433305600. Its totient is φ = 18662400.

The previous prime is 96478171. The next prime is 96478201. The reversal of 96478200 is 287469.

96478200 is a `hidden beast` number, since 9 + 647 + 8 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96478201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3112185 + ... + 3112215.

Almost surely, 2^96478200 is an apocalyptic number.

96478200 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 96478200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216652800).

96478200 is an abundant number, since it is smaller than the sum of its proper divisors (336827400).

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

96478200 is a wasteful number, since it uses less digits than its factorization.

96478200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 96478200 is about 9822.3316987363. The cubic root of 96478200 is about 458.6447191627.

The spelling of 96478200 in words is "ninety-six million, four hundred seventy-eight thousand, two hundred".