97077120 has 256 divisors, whose sum is σ = 366612480. Its totient is φ = 21381120.

The previous prime is 97077109. The next prime is 97077121. The reversal of 97077120 is 2177079.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97077121) 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 31 ways as a sum of consecutive naturals, for example, 416524 + ... + 416756.

It is an arithmetic number, because the mean of its divisors is an integer number (1432080).

Almost surely, 2^97077120 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 97077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183306240).

97077120 is an abundant number, since it is smaller than the sum of its proper divisors (269535360).

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

97077120 is a wasteful number, since it uses less digits than its factorization.

97077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 33.

The square root of 97077120 is about 9852.7721987266. The cubic root of 97077120 is about 459.5918244328.

The spelling of 97077120 in words is "ninety-seven million, seventy-seven thousand, one hundred twenty".