96737760 has 288 divisors, whose sum is σ = 394722720. Its totient is φ = 22063104.

The previous prime is 96737743. The next prime is 96737761. The reversal of 96737760 is 6773769.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96737761) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 211452 + ... + 211908.

It is an arithmetic number, because the mean of its divisors is an integer number (1370565).

Almost surely, 2^96737760 is an apocalyptic number.

96737760 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 96737760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197361360).

96737760 is an abundant number, since it is smaller than the sum of its proper divisors (297984960).

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

96737760 is a wasteful number, since it uses less digits than its factorization.

96737760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 96737760 is about 9835.5355726061. The cubic root of 96737760 is about 459.0556556033.

The spelling of 96737760 in words is "ninety-six million, seven hundred thirty-seven thousand, seven hundred sixty".