96905760 has 192 divisors, whose sum is σ = 353009664. Its totient is φ = 21888000.

The previous prime is 96905713. The next prime is 96905761. The reversal of 96905760 is 6750969.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (96905761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507265 + ... + 507455.

It is an arithmetic number, because the mean of its divisors is an integer number (1838592).

Almost surely, 2^96905760 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 96905760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176504832).

96905760 is an abundant number, since it is smaller than the sum of its proper divisors (256103904).

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

96905760 is a wasteful number, since it uses less digits than its factorization.

96905760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 96905760 is about 9844.0723280561. The cubic root of 96905760 is about 459.3212421706.

The spelling of 96905760 in words is "ninety-six million, nine hundred five thousand, seven hundred sixty".