97579600 has 60 divisors (see below), whose sum is σ = 237155580. Its totient is φ = 38579200.

The previous prime is 97579597. The next prime is 97579607. The reversal of 97579600 is 697579.

It can be written as a sum of positive squares in 6 ways, for example, as 15713296 + 81866304 = 3964^2 + 9048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97579607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34230 + ... + 36970.

It is an arithmetic number, because the mean of its divisors is an integer number (3952593).

Almost surely, 2^97579600 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 97579600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118577790).

97579600 is an abundant number, since it is smaller than the sum of its proper divisors (139575980).

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

97579600 is a wasteful number, since it uses less digits than its factorization.

97579600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 43.

The square root of 97579600 is about 9878.2387094056. The cubic root of 97579600 is about 460.3834232281.

The spelling of 97579600 in words is "ninety-seven million, five hundred seventy-nine thousand, six hundred".