96429312 has 144 divisors (see below), whose sum is σ = 326058880. Its totient is φ = 27537408.

The previous prime is 96429301. The next prime is 96429323. The reversal of 96429312 is 21392469.

96429312 is a `hidden beast` number, since 9 + 642 + 9 + 3 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (96429301) and next prime (96429323).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×96429312² = 18597224425586688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 47388 + ... + 49380.

Almost surely, 2^96429312 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 96429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163029440).

96429312 is an abundant number, since it is smaller than the sum of its proper divisors (229629568).

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

96429312 is a wasteful number, since it uses less digits than its factorization.

96429312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2005 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 96429312 is about 9819.8427685987. The cubic root of 96429312 is about 458.5672370254.

It can be divided in two parts, 964 and 29312, that added together give a square (30276 = 174²).

The spelling of 96429312 in words is "ninety-six million, four hundred twenty-nine thousand, three hundred twelve".