97179120 has 120 divisors (see below), whose sum is σ = 331130592. Its totient is φ = 25536000.

The previous prime is 97179119. The next prime is 97179193. The reversal of 97179120 is 2197179.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50170 + ... + 52070.

Almost surely, 2^97179120 is an apocalyptic number.

97179120 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 97179120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165565296).

97179120 is an abundant number, since it is smaller than the sum of its proper divisors (233951472).

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

97179120 is a wasteful number, since it uses less digits than its factorization.

97179120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 97179120 is about 9857.9470479406. The cubic root of 97179120 is about 459.7527341546.

The spelling of 97179120 in words is "ninety-seven million, one hundred seventy-nine thousand, one hundred twenty".