97659648 has 144 divisors (see below), whose sum is σ = 294336000. Its totient is φ = 31933440.

The previous prime is 97659631. The next prime is 97659659. The reversal of 97659648 is 84695679.

97659648 is a `hidden beast` number, since 9 + 7 + 6 + 596 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 97659594 and 97659603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490653 + ... + 490851.

It is an arithmetic number, because the mean of its divisors is an integer number (2044000).

Almost surely, 2^97659648 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 97659648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147168000).

97659648 is an abundant number, since it is smaller than the sum of its proper divisors (196676352).

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

97659648 is a wasteful number, since it uses less digits than its factorization.

97659648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 97659648 is about 9882.2896132425. The cubic root of 97659648 is about 460.5092784261.

The spelling of 97659648 in words is "ninety-seven million, six hundred fifty-nine thousand, six hundred forty-eight".