97106880 has 224 divisors, whose sum is σ = 344107008. Its totient is φ = 23040000.

The previous prime is 97106869. The next prime is 97106881. The reversal of 97106880 is 8860179.

It is a super-2 number, since 2×97106880² = 18859492286668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97106881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386755 + ... + 387005.

It is an arithmetic number, because the mean of its divisors is an integer number (1536192).

Almost surely, 2^97106880 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 97106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172053504).

97106880 is an abundant number, since it is smaller than the sum of its proper divisors (247000128).

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

97106880 is a wasteful number, since it uses less digits than its factorization.

97106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 97106880 is about 9854.2823178555. The cubic root of 97106880 is about 459.6387838512.

The spelling of 97106880 in words is "ninety-seven million, one hundred six thousand, eight hundred eighty".