97945680 has 160 divisors (see below), whose sum is σ = 350049024. Its totient is φ = 22192128.

The previous prime is 97945663. The next prime is 97945681. The reversal of 97945680 is 8654979.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97945681) 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 31 ways as a sum of consecutive naturals, for example, 290472 + ... + 290808.

Almost surely, 2^97945680 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 97945680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175024512).

97945680 is an abundant number, since it is smaller than the sum of its proper divisors (252103344).

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

97945680 is a wasteful number, since it uses less digits than its factorization.

97945680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 97945680 is about 9896.7509820142. The cubic root of 97945680 is about 460.9584301633.

The spelling of 97945680 in words is "ninety-seven million, nine hundred forty-five thousand, six hundred eighty".