97993800 has 240 divisors, whose sum is σ = 356495040. Its totient is φ = 24900480.

The previous prime is 97993793. The next prime is 97993837. The reversal of 97993800 is 839979.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 372469 + ... + 372731.

It is an arithmetic number, because the mean of its divisors is an integer number (1485396).

Almost surely, 2^97993800 is an apocalyptic number.

97993800 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 97993800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178247520).

97993800 is an abundant number, since it is smaller than the sum of its proper divisors (258501240).

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

97993800 is a wasteful number, since it uses less digits than its factorization.

97993800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 97993800 is about 9899.1817843699. The cubic root of 97993800 is about 461.0339063120.

The spelling of 97993800 in words is "ninety-seven million, nine hundred ninety-three thousand, eight hundred".