96936000 has 224 divisors, whose sum is σ = 366442752. Its totient is φ = 22118400.

The previous prime is 96935983. The next prime is 96936083. The reversal of 96936000 is 63969.

96936000 = T₄₂₁ + T₄₂₂ + ... + T₈₆₈.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167712 + ... + 168288.

Almost surely, 2^96936000 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 96936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183221376).

96936000 is an abundant number, since it is smaller than the sum of its proper divisors (269506752).

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

96936000 is a wasteful number, since it uses less digits than its factorization.

96936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 96936000 is about 9845.6081579555. The cubic root of 96936000 is about 459.3690151472.

Adding to 96936000 its reverse (63969), we get a palindrome (96999969).

The spelling of 96936000 in words is "ninety-six million, nine hundred thirty-six thousand".