96906564 has 48 divisors (see below), whose sum is σ = 252383040. Its totient is φ = 32155200.

The previous prime is 96906541. The next prime is 96906569. The reversal of 96906564 is 46560969.

It is not an unprimeable number, because it can be changed into a prime (96906569) 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 15 ways as a sum of consecutive naturals, for example, 23239 + ... + 27089.

It is an arithmetic number, because the mean of its divisors is an integer number (5257980).

Almost surely, 2^96906564 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 96906564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126191520).

96906564 is an abundant number, since it is smaller than the sum of its proper divisors (155476476).

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

96906564 is a wasteful number, since it uses less digits than its factorization.

96906564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 96906564 is about 9844.1131647295. The cubic root of 96906564 is about 459.3225124537.

Subtracting from 96906564 its reverse (46560969), we obtain a triangular number (50345595 = T₁₀₀₃₄).

The spelling of 96906564 in words is "ninety-six million, nine hundred six thousand, five hundred sixty-four".