96449760 has 144 divisors (see below), whose sum is σ = 359115120. Its totient is φ = 23377920.

The previous prime is 96449729. The next prime is 96449761. The reversal of 96449760 is 6794469.

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

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 (96449761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12796 + ... + 18884.

It is an arithmetic number, because the mean of its divisors is an integer number (2493855).

Almost surely, 2^96449760 is an apocalyptic number.

96449760 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 96449760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179557560).

96449760 is an abundant number, since it is smaller than the sum of its proper divisors (262665360).

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

96449760 is a wasteful number, since it uses less digits than its factorization.

96449760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6121 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 96449760 is about 9820.8838706096. The cubic root of 96449760 is about 458.5996480561.

The spelling of 96449760 in words is "ninety-six million, four hundred forty-nine thousand, seven hundred sixty".