97040960 has 56 divisors (see below), whose sum is σ = 239069880. Its totient is φ = 37474304.

The previous prime is 97040959. The next prime is 97040969. The reversal of 97040960 is 6904079.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28217344 + 68823616 = 5312^2 + 8296^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 97040960.

It is not an unprimeable number, because it can be changed into a prime (97040969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4052 + ... + 14508.

It is an arithmetic number, because the mean of its divisors is an integer number (4269105).

Almost surely, 2^97040960 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 97040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119534940).

97040960 is an abundant number, since it is smaller than the sum of its proper divisors (142028920).

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

97040960 is a wasteful number, since it uses less digits than its factorization.

97040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10503 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 97040960 is about 9850.9370112695. The cubic root of 97040960 is about 459.5347532979.

The spelling of 97040960 in words is "ninety-seven million, forty thousand, nine hundred sixty".