97966080 has 144 divisors (see below), whose sum is σ = 339852240. Its totient is φ = 26099712.

The previous prime is 97966079. The next prime is 97966091. The reversal of 97966080 is 8066979.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 91629 + ... + 92691.

It is an arithmetic number, because the mean of its divisors is an integer number (2360085).

Almost surely, 2^97966080 is an apocalyptic number.

97966080 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 97966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169926120).

97966080 is an abundant number, since it is smaller than the sum of its proper divisors (241886160).

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

97966080 is a wasteful number, since it uses less digits than its factorization.

97966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 97966080 is about 9897.7815696246. The cubic root of 97966080 is about 460.9904305509.

It can be divided in two parts, 9796 and 6080, that added together give a square (15876 = 126²).

The spelling of 97966080 in words is "ninety-seven million, nine hundred sixty-six thousand, eighty".