97701120 has 288 divisors, whose sum is σ = 379693440. Its totient is φ = 23592960.

The previous prime is 97701089. The next prime is 97701137. The reversal of 97701120 is 2110779.

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 (27).

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, 380032 + ... + 380288.

It is an arithmetic number, because the mean of its divisors is an integer number (1318380).

Almost surely, 2^97701120 is an apocalyptic number.

97701120 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 97701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189846720).

97701120 is an abundant number, since it is smaller than the sum of its proper divisors (281992320).

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

97701120 is a wasteful number, since it uses less digits than its factorization.

97701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 97701120 is about 9884.3876896852. The cubic root of 97701120 is about 460.5744555947.

Adding to 97701120 its reverse (2110779), we get a palindrome (99811899).

The spelling of 97701120 in words is "ninety-seven million, seven hundred one thousand, one hundred twenty".