96827724 has 216 divisors, whose sum is σ = 313709760. Its totient is φ = 25964064.

The previous prime is 96827719. The next prime is 96827729. The reversal of 96827724 is 42772869.

It is an interprime number because it is at equal distance from previous prime (96827719) and next prime (96827729).

It is a self number, because there is not a number n which added to its sum of digits gives 96827724.

It is not an unprimeable number, because it can be changed into a prime (96827729) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 904879 + ... + 904985.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^96827724 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 96827724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

96827724 is an abundant number, since it is smaller than the sum of its proper divisors (216882036).

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

96827724 is a wasteful number, since it uses less digits than its factorization.

96827724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 96827724 is about 9840.1079262374. The cubic root of 96827724 is about 459.1979154179.

The spelling of 96827724 in words is "ninety-six million, eight hundred twenty-seven thousand, seven hundred twenty-four".