96758820 has 96 divisors (see below), whose sum is σ = 306230400. Its totient is φ = 25356672.

The previous prime is 96758797. The next prime is 96758821. The reversal of 96758820 is 2885769.

96758820 is a `hidden beast` number, since 9 + 67 + 588 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (96758821) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30342 + ... + 33378.

It is an arithmetic number, because the mean of its divisors is an integer number (3189900).

Almost surely, 2^96758820 is an apocalyptic number.

96758820 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 96758820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153115200).

96758820 is an abundant number, since it is smaller than the sum of its proper divisors (209471580).

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

96758820 is a wasteful number, since it uses less digits than its factorization.

96758820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 96758820 is about 9836.6061220321. The cubic root of 96758820 is about 459.0889656250.

The spelling of 96758820 in words is "ninety-six million, seven hundred fifty-eight thousand, eight hundred twenty".