97858800 has 480 divisors, whose sum is σ = 406848960. Its totient is φ = 22118400.

The previous prime is 97858753. The next prime is 97858811. The reversal of 97858800 is 885879.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2386780 + ... + 2386820.

It is an arithmetic number, because the mean of its divisors is an integer number (847602).

Almost surely, 2^97858800 is an apocalyptic number.

97858800 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 97858800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203424480).

97858800 is an abundant number, since it is smaller than the sum of its proper divisors (308990160).

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

97858800 is a wasteful number, since it uses less digits than its factorization.

97858800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 97858800 is about 9892.3606889357. The cubic root of 97858800 is about 460.8220963796.

The spelling of 97858800 in words is "ninety-seven million, eight hundred fifty-eight thousand, eight hundred".