96782960 has 80 divisors (see below), whose sum is σ = 242796960. Its totient is φ = 35758080.

The previous prime is 96782927. The next prime is 96782963. The reversal of 96782960 is 6928769.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96782963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61544 + ... + 63096.

It is an arithmetic number, because the mean of its divisors is an integer number (3034962).

Almost surely, 2^96782960 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 96782960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121398480).

96782960 is an abundant number, since it is smaller than the sum of its proper divisors (146014000).

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

96782960 is a wasteful number, since it uses less digits than its factorization.

96782960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 96782960 is about 9837.8330947420. The cubic root of 96782960 is about 459.1271412529.

The spelling of 96782960 in words is "ninety-six million, seven hundred eighty-two thousand, nine hundred sixty".