96793632 has 144 divisors (see below), whose sum is σ = 300500928. Its totient is φ = 29376000.

The previous prime is 96793607. The next prime is 96793639. The reversal of 96793632 is 23639769.

96793632 is a `hidden beast` number, since 9 + 6 + 7 + 9 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (96793639) 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 23 ways as a sum of consecutive naturals, for example, 385507 + ... + 385757.

It is an arithmetic number, because the mean of its divisors is an integer number (2086812).

Almost surely, 2^96793632 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 96793632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150250464).

96793632 is an abundant number, since it is smaller than the sum of its proper divisors (203707296).

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

96793632 is a wasteful number, since it uses less digits than its factorization.

96793632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 96793632 is about 9838.3754756565. The cubic root of 96793632 is about 459.1440162095.

The spelling of 96793632 in words is "ninety-six million, seven hundred ninety-three thousand, six hundred thirty-two".