97864400 has 60 divisors (see below), whose sum is σ = 237847500. Its totient is φ = 38691840.

The previous prime is 97864399. The next prime is 97864409. The reversal of 97864400 is 446879.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 24522304 + 73342096 = 4952^2 + 8564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97864409) by changing a digit.

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, 34226 + ... + 36974.

It is an arithmetic number, because the mean of its divisors is an integer number (3964125).

Almost surely, 2^97864400 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 97864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118923750).

97864400 is an abundant number, since it is smaller than the sum of its proper divisors (139983100).

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

97864400 is a wasteful number, since it uses less digits than its factorization.

97864400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 97864400 is about 9892.6437315816. The cubic root of 97864400 is about 460.8308864408.

The spelling of 97864400 in words is "ninety-seven million, eight hundred sixty-four thousand, four hundred".