97605648 has 300 divisors, whose sum is σ = 346367340. Its totient is φ = 26417664.

The previous prime is 97605643. The next prime is 97605649. The reversal of 97605648 is 84650679.

It can be written as a sum of positive squares in 2 ways, for example, as 61027344 + 36578304 = 7812^2 + 6048^2 .

It is not an unprimeable number, because it can be changed into a prime (97605643) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1841590 + ... + 1841642.

Almost surely, 2^97605648 is an apocalyptic number.

97605648 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97605648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173183670).

97605648 is an abundant number, since it is smaller than the sum of its proper divisors (248761692).

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

97605648 is a wasteful number, since it uses less digits than its factorization.

97605648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 97605648 is about 9879.5570750920. The cubic root of 97605648 is about 460.4243846603.

The spelling of 97605648 in words is "ninety-seven million, six hundred five thousand, six hundred forty-eight".