96765840 has 200 divisors, whose sum is σ = 341641080. Its totient is φ = 25380864.

The previous prime is 96765839. The next prime is 96765859. The reversal of 96765840 is 4856769.

96765840 is a `hidden beast` number, since 9 + 67 + 6 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19607184 + 77158656 = 4428^2 + 8784^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 706252 + ... + 706388.

Almost surely, 2^96765840 is an apocalyptic number.

96765840 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 96765840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170820540).

96765840 is an abundant number, since it is smaller than the sum of its proper divisors (244875240).

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

96765840 is a wasteful number, since it uses less digits than its factorization.

96765840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 96765840 is about 9836.9629459503. The cubic root of 96765840 is about 459.1000678914.

The spelling of 96765840 in words is "ninety-six million, seven hundred sixty-five thousand, eight hundred forty".