96447936 has 112 divisors (see below), whose sum is σ = 291108384. Its totient is φ = 27918336.

The previous prime is 96447931. The next prime is 96447961. The reversal of 96447936 is 63974469.

96447936 = T₃₃₆₀ + T₃₃₆₁ + ... + T₃₃₇₆.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96447931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41296 + ... + 43568.

It is an arithmetic number, because the mean of its divisors is an integer number (2599182).

Almost surely, 2^96447936 is an apocalyptic number.

96447936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96447936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145554192).

96447936 is an abundant number, since it is smaller than the sum of its proper divisors (194660448).

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

96447936 is a wasteful number, since it uses less digits than its factorization.

96447936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2308 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 96447936 is about 9820.7910068385. The cubic root of 96447936 is about 458.5967571174.

The spelling of 96447936 in words is "ninety-six million, four hundred forty-seven thousand, nine hundred thirty-six".