97768960 has 80 divisors (see below), whose sum is σ = 236828592. Its totient is φ = 38707200.

The previous prime is 97768949. The next prime is 97768963. The reversal of 97768960 is 6986779.

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

It is a junction number, because it is equal to n+sod(n) for n = 97768898 and 97768907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97768963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463255 + ... + 463465.

Almost surely, 2^97768960 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 97768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118414296).

97768960 is an abundant number, since it is smaller than the sum of its proper divisors (139059632).

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

97768960 is a wasteful number, since it uses less digits than its factorization.

97768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The square root of 97768960 is about 9887.8187685657. The cubic root of 97768960 is about 460.6810328171.

The spelling of 97768960 in words is "ninety-seven million, seven hundred sixty-eight thousand, nine hundred sixty".