97978896 has 200 divisors, whose sum is σ = 313283520. Its totient is φ = 29424384.

The previous prime is 97978891. The next prime is 97978931. The reversal of 97978896 is 69887979.

It is a super-2 number, since 2×97978896² = 19199728122757632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97978891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 566266 + ... + 566438.

Almost surely, 2^97978896 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 97978896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156641760).

97978896 is an abundant number, since it is smaller than the sum of its proper divisors (215304624).

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

97978896 is a wasteful number, since it uses less digits than its factorization.

97978896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 63.

The square root of 97978896 is about 9898.4289662552. The cubic root of 97978896 is about 461.0105320519.

The spelling of 97978896 in words is "ninety-seven million, nine hundred seventy-eight thousand, eight hundred ninety-six".