97048960 has 128 divisors (see below), whose sum is σ = 255571200. Its totient is φ = 35076096.

The previous prime is 97048951. The next prime is 97048997. The reversal of 97048960 is 6984079.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279507 + ... + 279853.

It is an arithmetic number, because the mean of its divisors is an integer number (1996650).

Almost surely, 2^97048960 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 97048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127785600).

97048960 is an abundant number, since it is smaller than the sum of its proper divisors (158522240).

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

97048960 is a wasteful number, since it uses less digits than its factorization.

97048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 97048960 is about 9851.3430556447. The cubic root of 97048960 is about 459.5473808764.

The spelling of 97048960 in words is "ninety-seven million, forty-eight thousand, nine hundred sixty".