96763680 has 192 divisors, whose sum is σ = 364936320. Its totient is φ = 23804928.

The previous prime is 96763673. The next prime is 96763697. The reversal of 96763680 is 8636769.

96763680 is a `hidden beast` number, since 9 + 6 + 7 + 636 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55299 + ... + 57021.

It is an arithmetic number, because the mean of its divisors is an integer number (1900710).

Almost surely, 2^96763680 is an apocalyptic number.

96763680 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 96763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182468160).

96763680 is an abundant number, since it is smaller than the sum of its proper divisors (268172640).

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

96763680 is a wasteful number, since it uses less digits than its factorization.

96763680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1746 counting only the distinct ones).

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

The square root of 96763680 is about 9836.8531553541. The cubic root of 96763680 is about 459.0966518666.

The spelling of 96763680 in words is "ninety-six million, seven hundred sixty-three thousand, six hundred eighty".