97962760 has 96 divisors (see below), whose sum is σ = 258880320. Its totient is φ = 33264000.

The previous prime is 97962757. The next prime is 97962763. The reversal of 97962760 is 6726979.

It is an interprime number because it is at equal distance from previous prime (97962757) and next prime (97962763).

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 97962760.

It is not an unprimeable number, because it can be changed into a prime (97962763) 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, 295795 + ... + 296125.

It is an arithmetic number, because the mean of its divisors is an integer number (2696670).

Almost surely, 2^97962760 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 97962760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129440160).

97962760 is an abundant number, since it is smaller than the sum of its proper divisors (160917560).

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

97962760 is a wasteful number, since it uses less digits than its factorization.

97962760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 97962760 is about 9897.6138538539. The cubic root of 97962760 is about 460.9852229474.

The spelling of 97962760 in words is "ninety-seven million, nine hundred sixty-two thousand, seven hundred sixty".