96429008 has 40 divisors (see below), whose sum is σ = 203502600. Its totient is φ = 43997184.

The previous prime is 96428987. The next prime is 96429029. The reversal of 96429008 is 80092469.

It is an interprime number because it is at equal distance from previous prime (96428987) and next prime (96429029).

It can be written as a sum of positive squares in 4 ways, for example, as 11641744 + 84787264 = 3412^2 + 9208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15908 + ... + 21116.

It is an arithmetic number, because the mean of its divisors is an integer number (5087565).

Almost surely, 2^96429008 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 96429008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101751300).

96429008 is an abundant number, since it is smaller than the sum of its proper divisors (107073592).

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

96429008 is a wasteful number, since it uses less digits than its factorization.

96429008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 96429008 is about 9819.8272897236. The cubic root of 96429008 is about 458.5667551367.

The spelling of 96429008 in words is "ninety-six million, four hundred twenty-nine thousand, eight".