97860906 has 256 divisors, whose sum is σ = 290304000. Its totient is φ = 23950080.

The previous prime is 97860871. The next prime is 97860907. The reversal of 97860906 is 60906879.

It is not an unprimeable number, because it can be changed into a prime (97860907) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3374500 + ... + 3374528.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^97860906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97860906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

97860906 is an abundant number, since it is smaller than the sum of its proper divisors (192443094).

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

97860906 is a wasteful number, since it uses less digits than its factorization.

97860906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 97860906 is about 9892.4671341380. The cubic root of 97860906 is about 460.8254021099.

The spelling of 97860906 in words is "ninety-seven million, eight hundred sixty thousand, nine hundred six".