96412800 has 288 divisors, whose sum is σ = 353258640. Its totient is φ = 23091200.

The previous prime is 96412793. The next prime is 96412807. The reversal of 96412800 is 821469.

It is an interprime number because it is at equal distance from previous prime (96412793) and next prime (96412807).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (96412807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1161559 + ... + 1161641.

Almost surely, 2^96412800 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 96412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176629320).

96412800 is an abundant number, since it is smaller than the sum of its proper divisors (256845840).

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

96412800 is a wasteful number, since it uses less digits than its factorization.

96412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 96412800 is about 9819.0019859454. The cubic root of 96412800 is about 458.5410613938.

The spelling of 96412800 in words is "ninety-six million, four hundred twelve thousand, eight hundred".