97824888 has 256 divisors, whose sum is σ = 338688000. Its totient is φ = 25546752.

The previous prime is 97824841. The next prime is 97824899. The reversal of 97824888 is 88842879.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1008456 + ... + 1008552.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 2^97824888 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 97824888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

97824888 is an abundant number, since it is smaller than the sum of its proper divisors (240863112).

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

97824888 is a wasteful number, since it uses less digits than its factorization.

97824888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 97824888 is about 9890.6464904980. The cubic root of 97824888 is about 460.7688591152.

Subtracting from 97824888 its reverse (88842879), we obtain a square (8982009 = 2997²).

The spelling of 97824888 in words is "ninety-seven million, eight hundred twenty-four thousand, eight hundred eighty-eight".