96393600 has 144 divisors (see below), whose sum is σ = 344057220. Its totient is φ = 25697280.

The previous prime is 96393571. The next prime is 96393617. The reversal of 96393600 is 639369.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×96393600² = 18583452241920000, which contains 22 as substring.

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27127 + ... + 30473.

Almost surely, 2^96393600 is an apocalyptic number.

96393600 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 96393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172028610).

96393600 is an abundant number, since it is smaller than the sum of its proper divisors (247663620).

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

96393600 is a wasteful number, since it uses less digits than its factorization.

96393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 96393600 is about 9818.0242411597. The cubic root of 96393600 is about 458.5106208546.

The spelling of 96393600 in words is "ninety-six million, three hundred ninety-three thousand, six hundred".