97656048 has 120 divisors (see below), whose sum is σ = 328848000. Its totient is φ = 26428032.

The previous prime is 97656019. The next prime is 97656049. The reversal of 97656048 is 84065679.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 97655994 and 97656012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97656049) 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 23 ways as a sum of consecutive naturals, for example, 16603 + ... + 21701.

It is an arithmetic number, because the mean of its divisors is an integer number (2740400).

Almost surely, 2^97656048 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 97656048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164424000).

97656048 is an abundant number, since it is smaller than the sum of its proper divisors (231191952).

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

97656048 is a wasteful number, since it uses less digits than its factorization.

97656048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139 (or 5130 counting only the distinct ones).

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

The square root of 97656048 is about 9882.1074675395. The cubic root of 97656048 is about 460.5036198154.

The spelling of 97656048 in words is "ninety-seven million, six hundred fifty-six thousand, forty-eight".