97815120 has 160 divisors (see below), whose sum is σ = 330728832. Its totient is φ = 23771136.

The previous prime is 97815119. The next prime is 97815139. The reversal of 97815120 is 2151879.

It is a super-2 number, since 2×97815120² = 19135595401228800, which contains 22 as substring.

It is a congruent number.

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, 333694 + ... + 333986.

Almost surely, 2^97815120 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 97815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165364416).

97815120 is an abundant number, since it is smaller than the sum of its proper divisors (232913712).

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

97815120 is a wasteful number, since it uses less digits than its factorization.

97815120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 97815120 is about 9890.1526782957. The cubic root of 97815120 is about 460.7535223908.

Adding to 97815120 its reverse (2151879), we get a palindrome (99966999).

The spelling of 97815120 in words is "ninety-seven million, eight hundred fifteen thousand, one hundred twenty".