96692960 has 192 divisors, whose sum is σ = 292118400. Its totient is φ = 29417472.

The previous prime is 96692933. The next prime is 96692969. The reversal of 96692960 is 6929669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96692969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422126 + ... + 422354.

It is an arithmetic number, because the mean of its divisors is an integer number (1521450).

Almost surely, 2^96692960 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 96692960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146059200).

96692960 is an abundant number, since it is smaller than the sum of its proper divisors (195425440).

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

96692960 is a wasteful number, since it uses less digits than its factorization.

96692960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 47.

The square root of 96692960 is about 9833.2578528177. The cubic root of 96692960 is about 458.9847805941.

The spelling of 96692960 in words is "ninety-six million, six hundred ninety-two thousand, nine hundred sixty".