96776064 has 192 divisors, whose sum is σ = 347518080. Its totient is φ = 25113600.

The previous prime is 96776033. The next prime is 96776077. The reversal of 96776064 is 46067769.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88159 + ... + 89249.

It is an arithmetic number, because the mean of its divisors is an integer number (1809990).

Almost surely, 2^96776064 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 96776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173759040).

96776064 is an abundant number, since it is smaller than the sum of its proper divisors (250742016).

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

96776064 is a wasteful number, since it uses less digits than its factorization.

96776064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 96776064 is about 9837.4826048131. The cubic root of 96776064 is about 459.1162363857.

The spelling of 96776064 in words is "ninety-six million, seven hundred seventy-six thousand, sixty-four".