96872412 has 288 divisors, whose sum is σ = 321753600. Its totient is φ = 22353408.

The previous prime is 96872411. The next prime is 96872417. The reversal of 96872412 is 21427869.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (48384) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96872411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3340414 + ... + 3340442.

It is an arithmetic number, because the mean of its divisors is an integer number (1117200).

Almost surely, 2^96872412 is an apocalyptic number.

96872412 is a gapful number since it is divisible by the number (92) 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 96872412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

96872412 is an abundant number, since it is smaller than the sum of its proper divisors (224881188).

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

96872412 is a wasteful number, since it uses less digits than its factorization.

96872412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 96872412 is about 9842.3783711052. The cubic root of 96872412 is about 459.2685476690.

The spelling of 96872412 in words is "ninety-six million, eight hundred seventy-two thousand, four hundred twelve".