97008120 has 288 divisors, whose sum is σ = 369729360. Its totient is φ = 21964800.

The previous prime is 97008097. The next prime is 97008133. The reversal of 97008120 is 2180079.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 740455 + ... + 740585.

Almost surely, 2^97008120 is an apocalyptic number.

97008120 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 97008120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184864680).

97008120 is an abundant number, since it is smaller than the sum of its proper divisors (272721240).

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

97008120 is a wasteful number, since it uses less digits than its factorization.

97008120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 97008120 is about 9849.2700237124. The cubic root of 97008120 is about 459.4829098153.

Adding to 97008120 its reverse (2180079), we get a palindrome (99188199).

The spelling of 97008120 in words is "ninety-seven million, eight thousand, one hundred twenty".