97848000 has 280 divisors, whose sum is σ = 364382304. Its totient is φ = 25920000.

The previous prime is 97847999. The next prime is 97848007. The reversal of 97848000 is 84879.

It is a super-2 number, since 2×97848000² = 19148462208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (97848007) 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 39 ways as a sum of consecutive naturals, for example, 647925 + ... + 648075.

Almost surely, 2^97848000 is an apocalyptic number.

97848000 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 97848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182191152).

97848000 is an abundant number, since it is smaller than the sum of its proper divisors (266534304).

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

97848000 is a wasteful number, since it uses less digits than its factorization.

97848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 97848000 is about 9891.8147981045. The cubic root of 97848000 is about 460.8051431718.

The spelling of 97848000 in words is "ninety-seven million, eight hundred forty-eight thousand".