96837120 has 200 divisors, whose sum is σ = 347582664. Its totient is φ = 25767936.

The previous prime is 96837109. The next prime is 96837131. The reversal of 96837120 is 2173869.

It is an interprime number because it is at equal distance from previous prime (96837109) and next prime (96837131).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207127 + ... + 207593.

Almost surely, 2^96837120 is an apocalyptic number.

96837120 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 96837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173791332).

96837120 is an abundant number, since it is smaller than the sum of its proper divisors (250745544).

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

96837120 is an equidigital number, since it uses as much as digits as its factorization.

96837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 96837120 is about 9840.5853484435. The cubic root of 96837120 is about 459.2127682027.

The spelling of 96837120 in words is "ninety-six million, eight hundred thirty-seven thousand, one hundred twenty".