96961536 has 220 divisors, whose sum is σ = 332891328. Its totient is φ = 27537408.

The previous prime is 96961531. The next prime is 96961547. The reversal of 96961536 is 63516969.

It is a super-3 number, since 3×96961536³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96961491 and 96961500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96961531) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 580525 + ... + 580691.

Almost surely, 2^96961536 is an apocalyptic number.

96961536 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 96961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166445664).

96961536 is an abundant number, since it is smaller than the sum of its proper divisors (235929792).

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

96961536 is a wasteful number, since it uses less digits than its factorization.

96961536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 96961536 is about 9846.9048944326. The cubic root of 96961536 is about 459.4093490350.

The spelling of 96961536 in words is "ninety-six million, nine hundred sixty-one thousand, five hundred thirty-six".