96735456 has 72 divisors (see below), whose sum is σ = 279803160. Its totient is φ = 31693056.

The previous prime is 96735449. The next prime is 96735461. The reversal of 96735456 is 65453769.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14146 + ... + 19838.

It is an arithmetic number, because the mean of its divisors is an integer number (3886155).

Almost surely, 2^96735456 is an apocalyptic number.

96735456 is a gapful number since it is divisible by the number (96) 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 96735456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139901580).

96735456 is an abundant number, since it is smaller than the sum of its proper divisors (183067704).

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

96735456 is a wasteful number, since it uses less digits than its factorization.

96735456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 5757 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 96735456 is about 9835.4184455975. The cubic root of 96735456 is about 459.0520111367.

It can be divided in two parts, 9673 and 5456, that added together give a square (15129 = 123²).

The spelling of 96735456 in words is "ninety-six million, seven hundred thirty-five thousand, four hundred fifty-six".