97040000 has 80 divisors (see below), whose sum is σ = 241774170. Its totient is φ = 38784000.

The previous prime is 97039997. The next prime is 97040023. The reversal of 97040000 is 4079.

It can be written as a sum of positive squares in 5 ways, for example, as 3182656 + 93857344 = 1784^2 + 9688^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 7.

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 9 ways as a sum of consecutive naturals, for example, 79394 + ... + 80606.

Almost surely, 2^97040000 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 97040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120887085).

97040000 is an abundant number, since it is smaller than the sum of its proper divisors (144734170).

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

97040000 is an equidigital number, since it uses as much as digits as its factorization.

97040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 97040000 is about 9850.8882848198. Note that the first 3 decimals coincide. The cubic root of 97040000 is about 459.5332379418.

Adding to 97040000 its reverse (4079), we get a palindrome (97044079).

The spelling of 97040000 in words is "ninety-seven million, forty thousand".