96783120 has 320 divisors, whose sum is σ = 393546240. Its totient is φ = 21399552.

The previous prime is 96783119. The next prime is 96783133. The reversal of 96783120 is 2138769.

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 63 ways as a sum of consecutive naturals, for example, 559354 + ... + 559526.

It is an arithmetic number, because the mean of its divisors is an integer number (1229832).

Almost surely, 2^96783120 is an apocalyptic number.

96783120 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 96783120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196773120).

96783120 is an abundant number, since it is smaller than the sum of its proper divisors (296763120).

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

96783120 is a wasteful number, since it uses less digits than its factorization.

96783120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

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

The square root of 96783120 is about 9837.8412266106. The cubic root of 96783120 is about 459.1273942599.

The spelling of 96783120 in words is "ninety-six million, seven hundred eighty-three thousand, one hundred twenty".