97989120 has 120 divisors (see below), whose sum is σ = 339443676. Its totient is φ = 26124288.

The previous prime is 97989097. The next prime is 97989121. The reversal of 97989120 is 2198979.

It can be written as a sum of positive squares in 2 ways, for example, as 89415936 + 8573184 = 9456^2 + 2928^2 .

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 (45).

It is not an unprimeable number, because it can be changed into a prime (97989121) 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 11 ways as a sum of consecutive naturals, for example, 20914 + ... + 25166.

Almost surely, 2^97989120 is an apocalyptic number.

97989120 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 97989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169721838).

97989120 is an abundant number, since it is smaller than the sum of its proper divisors (241454556).

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

97989120 is a wasteful number, since it uses less digits than its factorization.

97989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 97989120 is about 9898.9453983745. The cubic root of 97989120 is about 461.0265668238.

The spelling of 97989120 in words is "ninety-seven million, nine hundred eighty-nine thousand, one hundred twenty".