97888320 has 168 divisors, whose sum is σ = 345323160. Its totient is φ = 25436160.

The previous prime is 97888319. The next prime is 97888321. The reversal of 97888320 is 2388879.

It is an interprime number because it is at equal distance from previous prime (97888319) and next prime (97888321).

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 97298496 = 768^2 + 9864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97888321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117666 + ... + 118494.

It is an arithmetic number, because the mean of its divisors is an integer number (2055495).

Almost surely, 2^97888320 is an apocalyptic number.

97888320 is a gapful number since it is divisible by the number (90) 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 97888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172661580).

97888320 is an abundant number, since it is smaller than the sum of its proper divisors (247434840).

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

97888320 is a wasteful number, since it uses less digits than its factorization.

97888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 97888320 is about 9893.8526368650. The cubic root of 97888320 is about 460.8684287846.

It can be divided in two parts, 978 and 88320, that added together give a palindrome (89298).

The spelling of 97888320 in words is "ninety-seven million, eight hundred eighty-eight thousand, three hundred twenty".