97666600 has 24 divisors (see below), whose sum is σ = 227075310. Its totient is φ = 39066560.

The previous prime is 97666571. The next prime is 97666601. The reversal of 97666600 is 666679.

It can be written as a sum of positive squares in 3 ways, for example, as 48358116 + 49308484 = 6954^2 + 7022^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (97666601) 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 5 ways as a sum of consecutive naturals, for example, 243967 + ... + 244366.

Almost surely, 2^97666600 is an apocalyptic number.

It is an amenable number.

97666600 is an abundant number, since it is smaller than the sum of its proper divisors (129408710).

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

97666600 is a wasteful number, since it uses less digits than its factorization.

97666600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488349 (or 488340 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 97666600 is about 9882.6413473322. The cubic root of 97666600 is about 460.5202054384.

It can be divided in two parts, 976 and 66600, that added together give a palindrome (67576).

The spelling of 97666600 in words is "ninety-seven million, six hundred sixty-six thousand, six hundred".