97890408 has 96 divisors (see below), whose sum is σ = 330557760. Its totient is φ = 25424640.

The previous prime is 97890407. The next prime is 97890439. The reversal of 97890408 is 80409879.

It is not an unprimeable number, because it can be changed into a prime (97890407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3285 + ... + 14372.

It is an arithmetic number, because the mean of its divisors is an integer number (3443310).

Almost surely, 2^97890408 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 97890408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165278880).

97890408 is an abundant number, since it is smaller than the sum of its proper divisors (232667352).

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

97890408 is a wasteful number, since it uses less digits than its factorization.

97890408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17687 (or 17680 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 97890408 is about 9893.9581563700. The cubic root of 97890408 is about 460.8717056019.

The spelling of 97890408 in words is "ninety-seven million, eight hundred ninety thousand, four hundred eight".