97830240 has 192 divisors, whose sum is σ = 344010240. Its totient is φ = 23224320.

The previous prime is 97830197. The next prime is 97830269. The reversal of 97830240 is 4203879.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154725 + ... + 155355.

It is an arithmetic number, because the mean of its divisors is an integer number (1791720).

Almost surely, 2^97830240 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 97830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172005120).

97830240 is an abundant number, since it is smaller than the sum of its proper divisors (246180000).

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

97830240 is a wasteful number, since it uses less digits than its factorization.

97830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 97830240 is about 9890.9170454513. The cubic root of 97830240 is about 460.7772618506. Note that the first 3 decimals are identical.

The spelling of 97830240 in words is "ninety-seven million, eight hundred thirty thousand, two hundred forty".