97654800 has 120 divisors (see below), whose sum is σ = 331291296. Its totient is φ = 24504320.

The previous prime is 97654789. The next prime is 97654807. The reversal of 97654800 is 845679.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (97654807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18007 + ... + 22793.

Almost surely, 2^97654800 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 97654800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165645648).

97654800 is an abundant number, since it is smaller than the sum of its proper divisors (233636496).

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

97654800 is a wasteful number, since it uses less digits than its factorization.

97654800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 97654800 is about 9882.0443229121. The cubic root of 97654800 is about 460.5016581313.

The spelling of 97654800 in words is "ninety-seven million, six hundred fifty-four thousand, eight hundred".