97066368 has 96 divisors (see below), whose sum is σ = 319247760. Its totient is φ = 27730944.

The previous prime is 97066367. The next prime is 97066423. The reversal of 97066368 is 86366079.

97066368 is a `hidden beast` number, since 9 + 7 + 0 + 6 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×97066368² = 18843759593422848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97066367) 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, 2046 + ... + 14082.

Almost surely, 2^97066368 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 97066368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159623880).

97066368 is an abundant number, since it is smaller than the sum of its proper divisors (222181392).

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

97066368 is a wasteful number, since it uses less digits than its factorization.

97066368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12064 (or 12049 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 97066368 is about 9852.2265503794. The cubic root of 97066368 is about 459.5748560893.

The spelling of 97066368 in words is "ninety-seven million, sixty-six thousand, three hundred sixty-eight".