97818840 has 320 divisors, whose sum is σ = 397267200. Its totient is φ = 21088512.

The previous prime is 97818823. The next prime is 97818841. The reversal of 97818840 is 4881879.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97818841) 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 79 ways as a sum of consecutive naturals, for example, 430807 + ... + 431033.

It is an arithmetic number, because the mean of its divisors is an integer number (1241460).

Almost surely, 2^97818840 is an apocalyptic number.

97818840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97818840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198633600).

97818840 is an abundant number, since it is smaller than the sum of its proper divisors (299448360).

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

97818840 is a wasteful number, since it uses less digits than its factorization.

97818840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 97818840 is about 9890.3407423607. The cubic root of 97818840 is about 460.7593632784.

The spelling of 97818840 in words is "ninety-seven million, eight hundred eighteen thousand, eight hundred forty".