96519600 has 210 divisors, whose sum is σ = 348723836. Its totient is φ = 25660800.

The previous prime is 96519589. The next prime is 96519611. The reversal of 96519600 is 691569.

It is an interprime number because it is at equal distance from previous prime (96519589) and next prime (96519611).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 291435 + ... + 291765.

Almost surely, 2^96519600 is an apocalyptic number.

96519600 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 96519600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174361918).

96519600 is an abundant number, since it is smaller than the sum of its proper divisors (252204236).

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

96519600 is a wasteful number, since it uses less digits than its factorization.

96519600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 96519600 is about 9824.4389152765. The cubic root of 96519600 is about 458.7103131727.

The spelling of 96519600 in words is "ninety-six million, five hundred nineteen thousand, six hundred".