97839360 has 288 divisors, whose sum is σ = 367920000. Its totient is φ = 24551424.

The previous prime is 97839353. The next prime is 97839373. The reversal of 97839360 is 6393879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 656566 + ... + 656714.

It is an arithmetic number, because the mean of its divisors is an integer number (1277500).

Almost surely, 2^97839360 is an apocalyptic number.

97839360 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 97839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183960000).

97839360 is an abundant number, since it is smaller than the sum of its proper divisors (270080640).

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

97839360 is a wasteful number, since it uses less digits than its factorization.

97839360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 97839360 is about 9891.3780637482. The cubic root of 97839360 is about 460.7915797072.

The spelling of 97839360 in words is "ninety-seven million, eight hundred thirty-nine thousand, three hundred sixty".