96368580 has 288 divisors, whose sum is σ = 386830080. Its totient is φ = 18800640.

The previous prime is 96368557. The next prime is 96368603. The reversal of 96368580 is 8586369.

96368580 is a `hidden beast` number, since 9 + 6 + 3 + 68 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (96368557) and next prime (96368603).

It is a super-2 number, since 2×96368580² = 18573806422432800, which contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235416 + ... + 235824.

It is an arithmetic number, because the mean of its divisors is an integer number (1343160).

Almost surely, 2^96368580 is an apocalyptic number.

96368580 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 96368580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193415040).

96368580 is an abundant number, since it is smaller than the sum of its proper divisors (290461500).

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

96368580 is a wasteful number, since it uses less digits than its factorization.

96368580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 96368580 is about 9816.7499713500. The cubic root of 96368580 is about 458.4709469605.

The spelling of 96368580 in words is "ninety-six million, three hundred sixty-eight thousand, five hundred eighty".