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96768360 = 2332513232931

96768360 has 384 divisors, whose sum is σ = 377395200. Its totient is φ = 21288960.

The previous prime is 96768359. The next prime is 96768367. The reversal of 96768360 is 6386769.

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

It is not an unprimeable number, because it can be changed into a prime (96768367) 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 95 ways as a sum of consecutive naturals, for example, 3121545 + ... + 3121575.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 296768360 is an apocalyptic number.

96768360 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 96768360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

96768360 is an abundant number, since it is smaller than the sum of its proper divisors (280626840).

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

96768360 is a wasteful number, since it uses less digits than its factorization.

96768360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 96768360 is about 9837.0910334306. The cubic root of 96768360 is about 459.1040531894.

The spelling of 96768360 in words is "ninety-six million, seven hundred sixty-eight thousand, three hundred sixty".