97658880 has 288 divisors, whose sum is σ = 362063520. Its totient is φ = 22282240.

The previous prime is 97658861. The next prime is 97658881. The reversal of 97658880 is 8885679.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97658881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5744632 + ... + 5744648.

It is an arithmetic number, because the mean of its divisors is an integer number (1257165).

Almost surely, 2^97658880 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 97658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181031760).

97658880 is an abundant number, since it is smaller than the sum of its proper divisors (264404640).

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

97658880 is a wasteful number, since it uses less digits than its factorization.

97658880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 97658880 is about 9882.2507557742. The cubic root of 97658880 is about 460.5080712675.

The spelling of 97658880 in words is "ninety-seven million, six hundred fifty-eight thousand, eight hundred eighty".