96302640 has 240 divisors, whose sum is σ = 366405120. Its totient is φ = 20805120.

The previous prime is 96302623. The next prime is 96302641. The reversal of 96302640 is 4620369.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 96302598 and 96302607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96302641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223225 + ... + 223655.

It is an arithmetic number, because the mean of its divisors is an integer number (1526688).

Almost surely, 2^96302640 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 96302640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183202560).

96302640 is an abundant number, since it is smaller than the sum of its proper divisors (270102480).

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

96302640 is a wasteful number, since it uses less digits than its factorization.

96302640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 96302640 is about 9813.3908512807. The cubic root of 96302640 is about 458.3663538377.

The spelling of 96302640 in words is "ninety-six million, three hundred two thousand, six hundred forty".