96997824 has 280 divisors, whose sum is σ = 359956608. Its totient is φ = 25194240.

The previous prime is 96997811. The next prime is 96997847. The reversal of 96997824 is 42879969.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8817979 + ... + 8817989.

Almost surely, 2^96997824 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 96997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179978304).

96997824 is an abundant number, since it is smaller than the sum of its proper divisors (262958784).

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

96997824 is an frugal number, since it uses more digits than its factorization.

96997824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 23 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 96997824 is about 9848.7473315138. The cubic root of 96997824 is about 459.4666534324.

The spelling of 96997824 in words is "ninety-six million, nine hundred ninety-seven thousand, eight hundred twenty-four".