96469200 has 180 divisors, whose sum is σ = 339010048. Its totient is φ = 25401600.

The previous prime is 96469193. The next prime is 96469211. The reversal of 96469200 is 296469.

96469200 is a `hidden beast` number, since 9 + 646 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 457095 + ... + 457305.

Almost surely, 2^96469200 is an apocalyptic number.

96469200 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 96469200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169505024).

96469200 is an abundant number, since it is smaller than the sum of its proper divisors (242540848).

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

96469200 is a wasteful number, since it uses less digits than its factorization.

96469200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 96469200 is about 9821.8735483613. The cubic root of 96469200 is about 458.6304571124.

It can be divided in two parts, 96469 and 200, that added together give a palindrome (96669).

The spelling of 96469200 in words is "ninety-six million, four hundred sixty-nine thousand, two hundred".