96837300 has 216 divisors, whose sum is σ = 365601600. Its totient is φ = 20943360.

The previous prime is 96837263. The next prime is 96837313. The reversal of 96837300 is 373869.

It is a super-3 number, since 3×96837300³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119296 + ... + 120104.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 2^96837300 is an apocalyptic number.

96837300 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 96837300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

96837300 is an abundant number, since it is smaller than the sum of its proper divisors (268764300).

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

96837300 is a wasteful number, since it uses less digits than its factorization.

96837300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 96837300 is about 9840.5944942366. The cubic root of 96837300 is about 459.2130527295.

The spelling of 96837300 in words is "ninety-six million, eight hundred thirty-seven thousand, three hundred".