97461600 has 72 divisors (see below), whose sum is σ = 317245320. Its totient is φ = 25989120.

The previous prime is 97461577. The next prime is 97461631. The reversal of 97461600 is 616479.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17905 + ... + 22704.

It is an arithmetic number, because the mean of its divisors is an integer number (4406185).

Almost surely, 2^97461600 is an apocalyptic number.

It is an amenable number.

97461600 is an abundant number, since it is smaller than the sum of its proper divisors (219783720).

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

97461600 is a wasteful number, since it uses less digits than its factorization.

97461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40632 (or 40619 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 97461600 is about 9872.2641779888. The cubic root of 97461600 is about 460.1977725504.

The spelling of 97461600 in words is "ninety-seven million, four hundred sixty-one thousand, six hundred".