97679760 has 160 divisors (see below), whose sum is σ = 329502720. Its totient is φ = 23846400.

The previous prime is 97679737. The next prime is 97679761. The reversal of 97679760 is 6797679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97679761) 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 31 ways as a sum of consecutive naturals, for example, 141015 + ... + 141705.

It is an arithmetic number, because the mean of its divisors is an integer number (2059392).

Almost surely, 2^97679760 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 97679760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164751360).

97679760 is an abundant number, since it is smaller than the sum of its proper divisors (231822960).

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

97679760 is a wasteful number, since it uses less digits than its factorization.

97679760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 1000188, while the sum is 51.

The square root of 97679760 is about 9883.3071388073. The cubic root of 97679760 is about 460.5408886393.

The spelling of 97679760 in words is "ninety-seven million, six hundred seventy-nine thousand, seven hundred sixty".