96802668 has 48 divisors (see below), whose sum is σ = 252040320. Its totient is φ = 32130000.

The previous prime is 96802661. The next prime is 96802687. The reversal of 96802668 is 86620869.

It is a super-3 number, since 3×96802668³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96802661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25323 + ... + 28893.

It is an arithmetic number, because the mean of its divisors is an integer number (5250840).

Almost surely, 2^96802668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96802668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126020160).

96802668 is an abundant number, since it is smaller than the sum of its proper divisors (155237652).

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

96802668 is a wasteful number, since it uses less digits than its factorization.

96802668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 96802668 is about 9838.8346870958. The cubic root of 96802668 is about 459.1583032935.

The spelling of 96802668 in words is "ninety-six million, eight hundred two thousand, six hundred sixty-eight".