96219600 has 120 divisors (see below), whose sum is σ = 310625952. Its totient is φ = 25459200.

The previous prime is 96219589. The next prime is 96219601. The reversal of 96219600 is 691269.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×96219600² = 18516422848320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96219601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 216979 + ... + 217421.

Almost surely, 2^96219600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96219600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155312976).

96219600 is an abundant number, since it is smaller than the sum of its proper divisors (214406352).

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

96219600 is a wasteful number, since it uses less digits than its factorization.

96219600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 96219600 is about 9809.1589853565. The cubic root of 96219600 is about 458.2345689855.

The spelling of 96219600 in words is "ninety-six million, two hundred nineteen thousand, six hundred".